t 


teb 


'B;      ROPFS 

3  H-  VRM  EkS;  MECHANICS  BUSLNll^S 
^  MEN  AND  LABORERS. 

w 

■  T;.  i'.LEs  Showing  the  Value  of  Wheat,  Cob>%  Ryi., 
I  Oats,  Barley,  Cattle,  Hogs,  Hay,  Coal,  Li  >;- 

I  REK,  MERCHANDISr;    ThE  SiMi  LE  AND  CoM- 

■  POUND  iNTEREST  AT  6,  7,  8  AND   10  PER 

l»  Cent.;  Measurement  of  Board;?, 

■  ScAJH'LINGS,    TjMBERS,    SaW 

liforuia,  ^?^'*'  Ciste1ins,-Tanks, 

RiES,  Corn  Crtbs,  "Wagon  Beds;  T 
Oil  a  J  Table,  WAcfrib  Table,  Etc. 

METHODS  OF  RAITD  CALCULATION..; 


■  iTVTEKIfiNT  AND  VAiTJABLF. 


l>v  (  hristia:^  Kopp.  Jr. 


P.LOOMXNGT< 
187fc». 


»r 


UCSB   LIBRARY 


A^?:^^^^^^^ 


ROPP'S 

EASY  CALCULATOR 


UKSIGNED    KOK    THE    I'SK    OF 


FAPiMERS,  MECHANICS,  BUSINESS 
MEN  AND  LABOIIERS. 

CONTAINING    MANV    CONVENIENT    AND    VALUABLE 

TABLES     SHOWING     THE     VALUE     OF     WHEAT, 

CORN,  RYE,  OATS,    BARLEY,   CATTLE,   HOGS, 

HAY, COAL,  LUMBER,  MERCHANDISE;  THE 

SIMPLE   AND   COMPOUND   INTEREST 

AT    6,    7,    8    AND    10    PER    CENT.; 

MEASUREMENT     OF     BOARDS, 

SCANTLINGS,  TIMBERS,  SAW 

LOGS,  CISTERNS,  TANKS, 

GRANARIES,    CORN-CRIBS,    WAGON-BEDS; 

TIME  TABLE,   WAGES 

TABLES,  ETC. 

ALSO    ENTIRELY    NEW    AND    I'RACTICAL 

METHODS  OF  RAPID  CALCULATION. 


By  Christian  Ropp,  Jk. 


BLOOMING'J'OX,  ILL. 
1879. 


NOTE. — The  tables  and  methods  embodied  in  this  work 
are  supposed  to  oe  absolutely  accurate  and  reliable.  Any 
one  who  may  detect  a  mathematical  error  in  any  of  the 
following-  tables,  will  be  entitled  to  one  hundred  copies  of 
this  work,  by  comm\micating  the  fact  to  the  author. 


CONTENTS. 


l-ACJK. 

Wheat  Table 7,  «,  9 

Corn  and  Rye         "     10,  11 

Oats  "     V2,  13 

Harley  "     14 

Corn  in  the  ear       "     15,10 

Hay  and  Coal         "     17 

Lumber  (value)       "     18 

Stock  "     1{> 

Interest  "     ..  ■>0,21,22,28 

Time  "     24 

I^umber  (measure)  "     25 

Saw  Log  "     2(> 

Cistern  "     2(5 

Granary  "     27 

Corn-Crib  "     27 

Wages  "     28 

Addition 29 

Subtraction 29 

Multiplication HI 

Division 32 

Decimal  Scale 33 

Contracted  Multiplication 34 

"  Division 37 

Grain,  Hay,  Coal,  etc 40 

Stock,  Lumber,  Mdse.,  etc 42 


I'AGE. 

Percentage 4K 

Computing  Time 47 

Interest 48 

"      — Accurate  Method 51 

Partial  Payments 54 

Discount  S:  Present  Worth 5(» 

Bank  Discount 58 

Profit  and  Loss .59 

Gold  and  Currency fil 

Partnership (14 

Levying  Taxes, (15 

Gross  &  Net  Price  of  Hogs (j(i 

Grain  Measure 67 

Corn  in  Ear  •'        67 

Hay  "        68 

Cistern  "        68 

Parrel  "         (59 

Lumber  "         69 

Land  "        70 

Square  and  Solid       "         71 

Accounts 74 

Cross  Multiplication 75 

Peculiar  Contractions 77 

Contractions  in  Division 78 

Ready  Reckoner  Table -^0 


Entered  according  to  Act  of  Congress,  in  the  years  1873,  1875  and  1876, 

l!v  CHRISTIAN  ROPP,  Jr., 

In  the  office  of  the  Librarian  of  Congress,  at  Washington,  D.  C. 


PREFACE. 


Any  invention  or  discovery  that  tends  to  ease  and  accelerate  physical 
or  mental  labor,  adds  to  the  public  welfare,  and  will  be  appreciated  in  this 
age  of  intelligence,  progress  and  thrift.  A  work  of  this  kind  which 
saves  both  time  and  labor,  has  long  been  wanted,  especially  by  the 
agricultural  community,  since  so  many  like  the  author  himself,  who  is  a 
practical  farmer,  have  had  limited  advantages  for  obtaining  a  proper 
education. 

Nearly  all  the  /radical  features  found  in  Arithmetics,  Ready-Reckon- 
ers, Lightning-Calculators,  Interest,  Lumber  and  Wages  tables,  are 
embodied  in  this  work,  and  in  addition  it  contains  a  great  many  original 
rules  and  tables,  which  are  by  far  the  most  valuable  part  of  the  work. 

The  tables  are  unequalled  for  clearness  and  simplicity  and  will  enable 
any  one — the  least  conservant  with  figures — to  become  his  own  accountant 
almost  instantaneously.  They  show  at  a  glance  the  accurate  value  of  all 
kinds  of  Grain,  Stock,  Hay,  Coal,  Lumber  and  Merchandise,  from  one 
pound  to  a  car  load,  and  from  the  lowest  to  the  highest  prices  that  the 
market  is  likely  to  reach.  The  simple  and  compound  Interest  at  6,  7,  8 
and  10  per  cent,  on  all  sums  from  $1  to  $2000  and  from  one  day  to  si.^c 
years.  Measurement  of  Lumber,  Saw  Logs,  Cisterns,  Granaries,  Corn- 
Cribs,  Wagon  Beds,  etc.  A  Time,  Wages,  and  many  other  useful  tables 
and  important  information. 

The  "Contracted  Methods  of  Calculation"  which  save  a  vast  amount 
of  figures  and  mental  labor,  and  which  are  in  vain  sought  for  in  any 
other  mathematical  work,  will  be  admired  by  all  who  appreciate  rapidity, 
brevity  and  simplicity. 

The  mechanical  part  of  the  work  will  commend  itself  and  with  its  silicate 
slate,  memorandum  and  pocket  for  papers  will  be  found  a  most  convenient 
and  desirable  pocket  manual,  adapted  to  all  classes  of  men  whether  in 
business  or  out  of  business. 

That  this  little  volume  may  prove  interesting  and  profitable  to  all  who 
consult  its  pages,  is  the  sincere  desire  of  the 

AUTHOR. 

Bloomington,  III.,  April,  1876. 


THE  MULTIPLICATION  TABLE 

Is  inserted  for  the  convenience  of  those  who  have  not  thoroughly 
committed  it  to  memory. 


1 

2 

3 

4 

5 

6 

7 

8 

0 

10 

11 

12 

2 

4 

6 

8 

10 

12 

14 

16 

18 

20 

22 

24 

3 

6 

9 

12 

15 

18 

21 

24 

27 

30 

33 

36 

4 

8 

12 

16 

20 

24 

28 

32 

36 

40 

44 

48 

5 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55 

60 

6 

12 

18 

24 

30 

36 

42 

48 

54 

60 

66 

72 

7 

14 

21 

28 

35 

42 

49 

56 

63 

70 

77 

84 

8 

16 

24 

32 

40 

48 

56 

64 

72 

80 

88 

96 

9 

18 

27 

36 

45 

54 

63 

72 

81 

90 

99 

108 

10 

20 

30 

40 

50 

60 

70 

80 

90 

100 

110 

120 

11 

22 

33 

44 

55 

66 

77 

88 

99 

110 

121 

132 

12 

24 

3(3 

48 

60 

-0 

84 

96 

108 

120 

132 

144 

Read  carefully  ALL  the  following 

EXPLANATIONS 
To  Grain,  Stock,  Hay,  Coal,  Liimber,  Interest  Tables,  Etc. 

Examples. — Find  the  value  of  a  load  of  Wheat  weighing  8450 
(3000  +  400  +  50)  lbs.  at  48  cts.  per  bu.     Turn  to  page  7. 

Look  for  the  price  in  the  left  hand  column,  and  r  nnnn.  it.  oa  nn 

for  the  weight  or  quantity  in  the  first  3  lines  at  ™Jj  '?.^-  ^^^^  -^'l^Jj 
the  top.     Lay  the  silicate  slate  with  its  upper  edge  <        kq    «       u  '^q 

directly  below  the  line  in  which  the  price  is  found.  oT'^ 

Look  for  3000  at  the  top,  run  down  the  column  till  I  "^"s-  $27.G0 

opposite  48,  where  you  will  find  2400  ($24.00)  ;  write  it  down  it  being  the 
value  of  3000  lbs.  at  48  cts.  per  bu.  In  like  manner  the  value  of  400  lbs. 
is  found  to  be  3.20,  the  ri^ht-hand  cipher  not  falling  beloiv  the  400,  be- 
ing rejected.  'I'he  value  of  50  lbs.  is  40  cts  :  the  only  figures  vertically 
below  50.  The  three  numbers  added  and  two  places  pointed  off  from  the 
right,  gives  the  answer  in  dollars  and  cents. 

For  the  thousands  or  any  number  found  in  the  uf>f>er  line  take  all  the 
figures  below,  opposite  the  given  price;  for  the  hundreds  or  numbers 
found  in  the  second  line,  reject  the  right  hand  figure  in  the  corresponding 
number  below;  for  the  tens  or  numbers  found  in  the  third  line,  reject  the 
t-fo  right  hand  figures  below,  etc. 

The  small  figures  on  the  right  of  the  second  and  third  columns  are  td  be 
used  only  when  the  weight  or  quantity  is  10  or  20,000.  For  instance, 
10,000  lbs.  of  wheat  at  92  cts.  per  bu.  come  to  %\hZM\  1000  lbs.  to  $15.3:^; 
100  lbs.  to  $1.63;  10  lbs.  to  15  cts;  lib.  to  1  ct.  5  mills,  practically  2*  cts. 

When  a  fraction  occurs  in  the  price,  find  the  value  for  the  whole  number 
first,  then  for  the  fraction — found  near  the  top  of  column. 

Find  the  cost  of  20,G30  lbs.  of  Corn  at  48%  cts.  per  bu.  (Page  10.) 
iiO.OOO  lbs.  at  48  c.  cost  171.43,  at-%  c.  2.G8  equals  174.11  at  4834;  cts. 
GOO    "    ••      "        "           5.14    "     "           8    :=  5.22  "      "      " 

30    "     "       "        "  .20    "     "  <d    z=      .2()  "      "       " 

Ans.  $179.59 
The  fourth    line  from    top     (old  style   figures)    at   the    beginning  of 
each  grain  table,  shows  the  weight  reduced  to  bushels  and  hundredths. 
How  many  bushels  in  the  above  car  load  of  Corn  weighing  20,fi30  lbs.  ? 
In  20,000  lbs.  there  are  357  bu.   and  14  f  20,000  lbs.  equal  357.14  bu. 
hundredths;  in  <)00   lbs.,   10  bu.  and    d  (jqO     "        =         10.71   " 

hundredths;    in  30  lbs.,  54  hundredths.-!  oq    «        __  54*" 

In  all  368  bushels  and  39  hundredths  of  a  "     ''— 

bushel.  i  Ans.      3G8.39  " 

{2000  lbs.  cost  2G  25 
in    <i      «i  i'! 

■^"  -^^'^ 

Ans.  $31.G3 
{1000  lbs.  cost  5.75 
Ans.  $9.60 
Find  the  value  of  a  lot   of  Hogs   weighing  40G0   lbs. 
It  $4.85  cts.  per  hundred.     (Page  19.)  Ans.  $190.91 

First  find  the  value  at  $4.75  then  at  10  cts.  per  hundred. 
•N'OTF..— WTien  the  nearest  rejected  figure  is  5  or  over,  add  1  to  the  part  retained; 
lhll^,  toiuiting  t"/^  A.iiy  or  over,  a  -whole  one,  and  rejecting  what  is  under. 


:  column  Tint   for  14  da.  .70 

days  to       «       «       5j„os^        7  5Q 
2  years  ^    «       «      2  yrs.      36.00 


EXPI..ANATIONS.  5 

Interest  Tables. — The  Time  in  years,  months  and  days  will  be 
found  in  left  hand  colu'-Ji;  the  Principal,  from  $1  to  $^0U0,  at  the  top  of 
each  page. 

Find  the  Interest  of  $300  for  2  yrs.  5  mos.  14  da.  at  6  per  ct.    (Page  20.) 

Look  for  300  at  the  top,  run  down  the  column 
where  you  will  find  the  interest   for   14 
be  70  cts.,  for  5  months  $7.50,  and  for   2 
$36.00.     The  three  numbers  added  give  the  re- 
quired interest.  I,  Ans.  $44.20 

Find  the  Int.  on  94.50  for  7  mos.  f  j^j  q^  ^qq  for  7  mo.  23  da.  4.08 
and  2.J  da.  at  7  per  cent.  «       u         ^   u        u  «  jy 

When  "cents"   are  g!  — n,  find  the  J    «       «  50      »  «  '2 

interest  for  as  many  dollars  and  take  |  "  

the  hundredth  part  thereof.  (  Ans.  $4.28 

Reject  as  many  fig^ures  below  as  there  are  ciphers  omitted  above.  For  instance,  the 
interest  of  $1000  for  93  days  at  10  per  cent,  is  $25.83;  of  $100,  $2.58;  of  $10,  26*  cts.;  of 
♦1,3*  cts.,  etc. 

The  5  lower  lines  show  the  Compound  Interest.  The  compound  interest 
of  $500  for  6  years  at  8  per  cent,  is  $293.44. 

The  Time  Table— (Page  24.)  for  ascertaining  the  date  on  which  a  note 
or  bill  matures  when  given  for  a  certain  number  of  days.  Also,  for  find- 
ing the  exact  time  intervening  between  two  dates. 

When  will  a  note  drawn  on  the  25th  of  Jan.  for  100  days  become  due? 

The  25th  of  Jan.  is  likewise  the  25th  day  of  the  year;  adding  100 
to  this  makes  l'i5,  which  will  be  found  opposite  May,  below  5,  With  3 
days  of  grace  it  would  mature  May  8. 

How  many  days,  and  how  many  weeks,  from.  Oct.  19  to  March  1? 

Subtract  292  from  425.     The  19th  of  Oct.   is  the  292nd   day  |  405 
of  the  year,  the  1  of  March — of  the  following  year — the  425th.  j  of)2 

The  difference  (13-3)  is  the  time   in  days   which  divided  by  7,  \  

gives  it  in  weeks.  (.  133  da. 

In  passing  over  the  29  of  February,  make  allowance  for  i  day  more. 

To    find   the    Time    in   months,    years    and   days,    see  rule  pajje   47. 

Lumber  Table.— (Page  25.)  Look  for  the  width  of  boards,  or  for  the 
width  and  thickness  of  timbers,  in  the  left  hand  columns,  and  for  the  length 
at  the  top — in  the  angle  will  be  found  the  contents  in  square  feet  and 
inches.  Thus,  a  board  17  inches  wide,  and  18  feet  long  contains  25  ft. 
and  6  in.     A  sill  S  by  S  and  22  ft.  long,  117  ft.  4  in.,  etc. 

Log- Table.— (Page  26.)  Find  the  diameter  in  left  hand  column,  the 
length  at  the  top.  A  saw  log  19  inches  in  diameter  and  IS  ft.  long, 
will  make  254  ft.  of  square-edged  inch  boards. 

Cistern  Table.— (Page  26.)  The  mean  or  average  diameter  will  be 
found  in  left  hand  column,  the  depth  at  the  top.  A  well  4  feet  in  diam- 
eter and  20  ft.  deep  will  hold  CO  barrels.  (.31 1^  gallons  to  the  barrel) .  A 
cistern  7^  ft.  in  diameter  and  12  ft.  deep  contains  126  barrels.  A  tank 
or  cistern,  in  order  to  have  a  capacity  of  504  barrels  must  be  built  15  ft.  in 
diameter  and  12  ft.  deep,  or  13  ft.  in  diameter  and  16  feet  deep. 

"Wagres  Table.— (Page  28.)  Look  for  the  rate  per  week  or  month 
in  top  lines,  for  the  hours  and  days,  in  left  hand  column.  Thus,  at 
$7..50  per  week,  a  person  would  earn  $5  in  4  days,  and  75  cts.  in  6  hours. 
(10  hours  a  day's  work.)  At  $20  a  month,  a  man  earns  77  cts.  a  day ;  $8.46 
in  11  days,  etc.     (26  working  days  a  month. 

For  Explanations  to  Tables  showing  contents  of  Oranaries  and  Corn- 
Cribs,  see  page  27. 
•See  note  page  4. 


6  EXPLANATIONS. 

The  Table  on  page  80  embodies  nearly  all  the  features  found  in 
"Ready  kcckoners,"  and  is  handy  for  finding  the  value  of  Hutter,  Eggs, 
(joods,  etc.  The  price  is  found  in  left  hand  column,  the  quantity  in 
upper  line,  or  vice  versa.  Thus,  2.'i  lbs.  of  butter  at  35  cts.  are  worth  $8.05. 
28  yds.  of  goods  at  45  cts.  come  to  $12.00,  etc. 

^V^len  tlic  given  price  or  quantity  is  less  or  exceeds  the  extremes  found  in  the  tables, 
double,  ox  take  half  o{  some  convenient  numl>er.  For  instance,  46  ll>s.  would  cost 
twice  as  much  as  23  lbs.,  and  at  15  cts.  would  amount  to  only  half  as  much  as  at  30  cts. 

"Contracted  Method  of  Multiplication." — (See  Pages  35  &  36.) 

There  are  usually  from  t-.vo  \.oJi"'C  tinifs  as  many  figures  involved  in 
the  ordinary  methods  of  calculation,  as  are  required,  by  involving  com- 
mon or  decimal  fractions  which  fall  belom  cents  or  hundredths — the 
lowest  order  regarded  \n  practical  calculations.  All  this  labor  and  use- 
less figuring  is  avoided  by  the  following  simple  and  scientific  principle, 
which  is  the  chief  element  embodied  in  the  rules  for  finding  the  value  of 
grain,  stock,  merchandise,  etc.,  pages  40  and  42;  for  computing  interest 
pages  48  and  51 ;  for  ascertaining  the  capacity  of  granaries,  corn-cribs, 
cisterns,  tanks,  etc.,  pages  (JT  and  08;  besides  many  others. 

Find  the  cost  of  94>^  (1)4.75)  yds.  of  goods  at  83>^  (.8^375)  cts.  per  yd. 

Write  the  common  fractions  decimally.  5  y  yg 

Write  one  of  the  terms  in  re^'ersed  order  under  the  ■ 

other,  so  that  its  figure  on  the  right  of  the  decimal  point  7  5  8  0 

will  fall  belo'-.v  the  satne  Jigure  in  the  upper  term.     Or  <  2  8  4 

so   that  tenths   fall    under    tenths,    hundreths    under  G  6 

units,   etc.       No  order  lower   than  "cents"   will  then  5 

arise  in  the  products.  .        aZTTT^^ 
^                                                                        lAns.  $7  9.3  5 

In  multiplying  by  the  8,  commence  with  the  7  above  it  and  proceed  in 
the  usual  manner,  adding,  however,  the  (4)  tens  from  the  rejected  figure 
5,  (fS  time*  5.)  In  multiplying  by  the  8,  begin  with  the  4  above  it  and 
add  the  (2)  tens  from  the  nearest  rejected  figure  7,  (3  times  7).  Coming 
to  the  7,  multiply  the  0  above  it  and  add  the  (3*)  tens  hom.\.\\c  nearest 
rejected  figure  4,  (7  times  4).  There  being  no  figure  above  the  5,  simply 
multiply  the  ^/rrt^iTj/ rejected  figure  0  by  it  (mentally),  and  set  the  (5*) 
tens  in  the  right  hand  column.  Write  the  first  figure  of  each  partial 
product  in  the  same  column.  Add  and  point  off  two  places — the  result 
will  be  correct  within  a  few  mills. 

•In  carrying  tens  from  the  product  of  the  nearest  rejected  figure,  carry  one  more 
when  tlie  units  figure  of  the  product  \sfive  or  ofer.  Vox  instance,  from  5  to  14  carry 
one;  from  15  to  24  carry  tivo;  from  25  to  34  carry  three;  from  35  to  44  carry  four,  etc. 
By  this  principle  one-half  ox  over,  is  counted  a  whole  one,  and  what  is  under  is 
rejected.    Thus  one  eqalizes  the  other. 

TABLE  showing  the  number  of  Pounds  to  the  Bushel, 

As  recognized  by  the  Laws  0/  the  United  States. 

Wheat 60  iHung'n  Grass  Seed  .45  Apples,   Green 56 

Corn,  shelled 56  Blue  Grass  Seed 14  Dried  Apples 2-1 

Corn,  in  the  ear 70  Millet   Seed 50  Dried  Peaches ii3 

Rye 56  Red  Top  Seed 14  Cornmeal 48 

Oats 32  [White  Beans 60  Bran 20 

Barley 48  .Castor  Beans 46  Malt '^ 

Buckwheat 52  Peas 60  Stone  Coal 80 

Timothy  Seed 451  Potatoes 60  Charcoal, 22 

Clover  Seed 60  iSweet  Potatoes 55  Salt 65 

Flax  Seed 56  Onions 57  Fime,  unslacked 80 

Hemp  Seed 44  Turnips 55  Plastering  Hair 8 

A  Bushel  contains  21.50.4  cubic  inches.  A  Gallon  2-31.  Allox  13  by  13 
inches  and  12^'.^  inches  deep  contains  a  bushel,  or  2154^  cu.  in. 


Table  showing  the  Value  of  WHEAT— 

60  lbs 

totheBu.     7 

i  ( 

1000^ 

20000 

3000 

4000 

5000 

6000 

7000 

80001  9000 

H 

100 

200 

300 

400 

500 

600 

700 

800 

900 

>} 

10  1 

20  1 

30  i 

40  1 

50 

60  1 

70  1 

80  1 

90  1 

Bush. 

16667 

33333 

5000 

66,67 

8333 

100  op 

11667 

13333 

15000 

"^  3^ 

42 

83 

13 

i:'j' 

{21 

!2,5 

29 

33 

38 

p  }4 

5s 

111 

17 

2,2 

2,8 

3,3 

39 

44 

50 

iy^ 

83 

167 

25 

33 

4|2 

50 

5:8 

67 

75 

tB  0 

111 

>>v)2 

33 

44 

56 

67 

78 

89 

100 

ib^ 

250 

3,8 

50 

63 

7,5 

8:8 

io;o 

113 

f$ 

lelooo 

240,0 

8200 

4000 

480:d 

5600 

&400 

72()'0 

149 

16333 

2450 

32:67 

4083 

4900 

5717 

f;5:^3 

7:j'50 

.50 

83,33 
85,0^ 

16667 

2500 

3333 

4167 

5000 

.583:; 

m^\~ 

7500 

.51 

17000 

255,0 

8400 

4250 

510,0 

5950 

6«00 

7650 

.52 

866^ 

17,3,33 

2600 

3467 

4333 

520,0 

606  7 

6933 

78100 

.5:3 

8833 

17667 

265;0 

3533 

4417 

.5:30,0 

6is:j 

70,67 

7950 

-^ 

9333 

180,00 

27,0,0 

360,0 

4500 

5400 

6:300 

72,o;o 

8i:o;o 

.55 

18333 

2750 

366,7 

4583 

5500 

6417 

7333 

82,5,0 

.56 

1866' 

28;0,0 

3733 

466,7 

5600 

6533 

7467 

8400 

.57 

950^^ 

1900« 

2850 

3800 

4750 

57:0,0 

6<J50 

7600 

a550 

.58 

9:667 
9833 

19,333 

29,00 

3867 

4833 

5800 

67  6  7 

7733 

87  0:0 

.59 

196,67 

2950 

39,33 

49l|7 

590'0 

6883 

7867 

885,0 

.60 

10000 

20 

000 

3000 

40,00 

50'0,0 

a)'o'o 

7000 

8000 

9000 

.61 

1016^ 

20 

3:33 

3050 

4067 

5083 

6100 

7117 

8133 

91150 

.62 

10333 

20 

667 

310,0 

4133 

5167 

620  0 

7233 

8267 

930,0 

.63 

10,500 

21 

000 

31 50 

4.200 

.5250 

f>3  0  0 

7350 

8400 

Mpp 

XA 

1066^ 

21 

:3|33 

32,00 

4267 

533:3 

64,00 

746  7 

8533 

96!00 

.65 

10833 

21 

667 

32,50 

4333 

54'li7 

65o:o 

7583 

866  7 

975:0 

.♦36 

11 

000 

22 

0,00 

33,00 

440,0 

55;o,0 

6<30'0 

7700 

8S00 

99;0'0 

.67 

11 

l|67 

22 

333 

335'r 

446  7 

5583 

6700 

78'1;7 

8933 

10050 

.68 

11 

333 

22 

6,67 

340  0 

4533 

5607 

680  0 

79:33 

9067 

102;00 

.69 

11 

5*00 

23o;oo 
2:3333 

.3450 

4<]oo 

57  5 ' ' 

6900 

80'50 

920'0 

103,50 

.70 

1166^ 

350,0 

466,7 

5833 

70  0  0 

81,6;  7 

9:333 

1050'0 

.71 

11833 

2:36,67 

,3.50,0 

4733 

5917 

710:0 

8283 

fU67 

10650 

.72 

12,000 

24000 

36,0|0 

4S0  0 

6000 

72x):o 

840X) 

9<500 

1080,0 

!73 

12jl6- 

12333 

24333 

36,5,0 

4*^6  7 

6083 

73,0,0 

851:7 

9733 

1095'0 

.74 

241667 

3700 

4933 

616  7 

7400 

86'33 

986  7 

iiio;o 

.75 

12,5;0'> 

25,0;oo 

37:5:0 

5000 

625,0 

75;0,0 

8750 

10000 

11250 

.76 

1266^ 

253,33 

3800 

5067 

6:3:33 

76,00 

886,7 

10133 

1140^0 
11550 

.77 

r28|33 

25667 

3850 

51 33 

6417 

7700 

8983 

1026,7 

.78 

26000 

39'0!0 

5200 

&500 

7800 

9100 

ia4'o,o 

117d0 

.79 

13167 

26333 

3950 

526  7 

6,583 

79o;o 

92 1  7 

10533 

118,50 

.80 

133^3 

ISpjOo 

266,67 

40  00 

5333 

666,7 

80,0,0 

9333 

106'6:7 

12000 
12150 

.81 

27000 

4050 

.540  0 

6750 

8100 

fV450 

108,0,0 

.82 

13j833 

27-333 

410  0 

.5i6  7 

6S33 

8200 

950:7 

109,3'3 

123  o;o 

M 

27,667 

4150 

5533 

6917 

8:30,0 

%83 

1106  7 

12450 

.84 

14000 

28,000 

420:0 

560  0 

7000 

8400 

9800 

11200 

126;00 

.8") 

14167 

28I333 

4250 

5(;(;7 

70,S3 

8500 

99 1  7 

11333 

12750 

.8(5 

14'3'33 

28667 

4300 

.5733 

716  7 

8600 

10033 

1146  7 

l;2<io;o 

.87 

14500 

290  0" 

4350 

580  0 

72;)0 

8700 

10150 

1160  0 

13050 
132^,0 

.88 

14667 

29333 

4400 

5S6  7 

8SU0 

1026  7 

1173  3 

.89 

14833 

29667 

4450 

.59:;  3 

741 '7 

8900 

103  S3 

user 

i:«50 

.90 

15,0,00 

30000 

4500 

600  0 

75  0  0 

9000 

105,00 

1,200(1 

1:3.500 

.91 

15ll67 

30':3'33 

4550 

606  7 

75  S3 

9100 

10<3,17 

121:;  3 

i:3650 

.92 

15333 

30607 

4600 

6133 

76(')7 

9200 

10733 

1226  7 

i:3800 

.93 

15500 

31000 

4()50 

6200 

7750 

9300 

10850 

124  00 

1:39,50 

M 

15 

667 

31 

333 

4700 

62 

67 

78 

3;^ 

&4OOI 

109671 

12533 

m^o'o 

8       Table  showing  the  Value  of  "WHEAT— Continued. 


1000 
100 

io;iIg^ 

1G833 

10,0,0^ 
16'833 

17000 
17 IG^ 
173  ya 
17500 
17,GG^ 
1788^ 
ISO  00 
IS  10' 
IS  3  33 
18500^ 
180,0^ 
188,33 
19000 
1910^ 
19833, 
195100 
190  G^I 
19833, 
:300'oo 
2o'i!g7 


205:00 
200,G^ 
20;838 

210'0o 

2111  ;g^ 
21333 

21'5;00 
21,6,6^ 
21833 

22000 

221  !e^ 
22333 

22500 
22G'6^ 
22833 
23'00'' 
231 16^ 
23333 
2350^ 
2306^ 
23833 
24000 
2410^ 
24333 
24500 


2000 
200' 

2O1  i 

31 'OG' 

32:000 

3233 

32;0G 

33,00" 

1^333 

3300' 

3400" 

:-]4333 

:^:g,(5' 
35,000 
35333 

a5G0' 

3000" 

30333 

3000" 

3700" 

3733 

37,  G  6 

3800" 

3833= 

3806' 

39'00' 

3933^ 

39'GG' 

40,0  0^' 

40,33 

40GG 

4i:oo" 

4133 

4166 

4200^ 

4233= 

4200' 

43.0  0^ 

4333= 

4306' 

4400' 

44  GO' 

45000 

4533 

450  G 

40000 

40333 

4000 

4700'^ 

4733 

4700 

4800" 

4.8333 

4.SG6' 

49000 


3000  4000  5000 


300 
30 

475( 


48 OU    04 00    8000 


48r)(i 

49  0( 
4950 
50,00 

50  5  ( 
51 '0( 

51  5  ( 
52,00 
5250 
530'0 
5:^50 
540'<) 
5450 
5500 
5550 
5000 
5050 
5700 
5750 
580;0 
5850 
59  Ot) 
5950 
00  0( 
fX)5( 
61 '0( 
61 5  ( 
62,001 


6;^o( 
6:35(1 
r>io( 

64  5  ( 

r).50o 

0550 
6<J00 
6650 
6700 

67  5  ( 

68  0( 
6850 
69,00 
69,50 
7000 
7050 
7100 
7150 
7200 
7250 
7300 
7350I 


400 
40  ! 

6;J3:^ 


(V40 

05:; 
♦;oo 

t^GO 

fi7:j 

Osooi 
OS  0 : 
093: 

70li( 
700^ 
713: 
72  0( 
7201 
733: 
7400 

740-; 

7(5  0! 
70  (m 
773: 

7801 
78  »M 
793: 
80  0( 
SOCm 

813;: 


826,7 


62,50    83,33  1041 


846, 
8533 


866' 


8800 

S861 

893:51 

90'0 

90'0 

9133 

9200 

92;0  7 

93,33 

9i,00 

940  7 

95,33 

96,00 

m( 

97: 

98  OU 


.600 
60,  i 

791' 


,sos: 
sio 


Sll 

S")0 

s.")s:5|io:iO( 
105o'( 

lOOlK 
i070( 

10S( 


87  5  ( 
,Ss ; ; : 
S9  1  ] 
'.KKK 

ltd  s ; 

91  Cm 

9:.'  5 1 
9:53: 
Wll 
95  o( 
95.s;;| 

9s : ; 
W 1 


; 10900 1271 


KKis: 
1010 ' 
82,0l>|  102  51 


103 


Si'O.O  1050,0 


1058:^ 
lOOC 


80,00  10750 


10833 


8733  1091,' 


llOS-3 

111,07 

112501 

1133: 

11411 

115 (Mt 

115  s 

110  f, 

1175  0 

11833 

11917 

12000 

12083 

121 


6000 


600 

60  I 
95001 

««;o( 
9700 

9S0(» 

9000 

UH-KH 
101  0( 
1020( 


700 
70 

11083 
11200 
11317 
1143: 
115  5  ( 

not;-; 

117s: 
11901 

1201'; 
1213: 

1225( 

2:^0'; 
I24s:>l 
1200( 


lioool 

lllOl 
1120( 

li:;o( 

1140(t| 
1150( 

nt;o( 

1170(»| 
lisdo 
1190( 

1(MI00|12000 


1;J10( 

122001 

12:;  0 

12400 
12500 
12000 
1270(» 
1280  0 
12900 

iso'o'o 


110;00  1320,0  1.5400 


i;-330O 
134'00 
i;35(H 

i:j00( 

13701 
i:js()( 

14000 
14100 
142  0( 
14300 
14400 
14500 


7000 


12s  3: 
1295( 

i:;o(;- 
131  s: 
i:330( 
1:3411 
1353: 
i:;05( 
i:;7(m 
i:;s,s; 
1400( 
1411  1 
142;;; 

14351 
144G-; 
145s; 
147  0( 
14817 
1493:: 
1.50,50 

1.51  e 


131  K^'O  15283 


1.551 
1.503 
1.57501 

1.580  7 
1.59s:; 
10100 
102 1  7 
10333 
1W501 
ir>5G 

ir^jS 
losoo 

1691 


14600  17033 


l:i2  501 147.00I  1715  Ol  mO  Ol 


80001 
800 

80.  I 
12007 
l;Jso( 


9000 

9001 

90, 

142.50 

14400 

12933  1455,0 

i:;ooi 
1320( 

i:;3:;; 
i:;4  07 
i;,oo,o 
1373: 
i:;soi 

140  01 

141 3: 

1420,1 
14401 

1453: 

14<]01 
14S0( 
1493; 
15001 
1.520( 
153:;: 

I'Ai): 

15000 

1573; 

"SO" 
loooi 
ici;;; 
lo-.'o; 
ituot 
105;;; 
10001 
i(;so( 
lt;;i;;; 

170  til 
172  (M 

1733; 

17401 
170001 

177: 

178 » 

18000 

1813:; 

Islm;-; 

l.Sloi 

L853: 

18001 

I8SOO 

1893 

1900 

192  Oti 

1933 

I'.HG 


1470O 
1485,0 
1.50,0,0 
1.51,5,0 
1.5:30,0 
1.54,5,0 
150,0,0 
^.57,5;o 
1.590,0 
1»K).5,0 

io2,o;o 

lt>:350 
10500 

ir,<;5|0 
KiSOO 
1(;9.50 
171,OjO 
172.5|0 
1740:0 
175.5:0 
1770,0 
17S50 
ISO  00 
ISI5O 
is;]  00 
LSI  .5,0 
1S(;00 
1S7.50 
1S90;0 
11HI50 
1920;o 
193.50 
1950,0 
19(35,0 
1980,0 
199.50 
2010,0 
;i025,0 
204,0,0 
2(  >5,5;0 
J070O 
208.50 
210,00 
11.50 
130|0 
14.5*0 
21G0,0 
21750 
190k) 
20.50 


Table  showing  the  Value  of  WHEAT— Continued.        9 


3000  4000 
300     400 
30       40 

7400    i^sr,. 
7450    m-]H 
7500  KMHt 
7550  ItH'O 

Tooo  KH ;; 

7650  l()-j{H 


1000 
100 
10  , 

2406' 
24s:j 

25;:!;:! 

2550'^ 

2560" 

25:83 

360|0 

2616" 

26r;:j 

2650 

2666 

268,3 

2700 

2716 

2733 

2750 

2766 

2783 

2800' 

28 1 6" 

2833 

2850^' 

2866" 

2883 

2900 

2916 

2933 

2950" 

2966 

2983 

3000'^ 

3016 

3033 

30,50" 

3066" 

30833 

3100" 

3116" 

3133=^ 

3150" 

3106' 

31 8  33 

3200" 

3216 

3233 

3250' 

3266 

3283 

3:^00" 

33 1( 

...>...>3 


2000 
200 
20  ] 

49333 

496,6' 

5000-^ 

50333 

5066 

51 00" 

5133 

516:6 

520!0" 

52333 

5266 

5:j0(i 

5333 

5:366 

5400 

5433 

54  6  (i 

5500" 

55333 

5566 

5600 

5633 

5(366 

5700" 

57333 

5766 

5800" 

58333 

5866- 

5900" 

59333 

5966 

6000" 

603  33 

6066' 

6100" 

6133'^ 

6166" 

62(i(r 

6233^ 

6266' 

6:^10" 

6:^33 

6:366' 

6400'-' 

(>4333 

(>466" 

6.500'^ 

65333 

6566' 

6600" 

66333 

6666' 


500d  6000i 

500 

50  I 


4] 
125  ( 
125  > 
126f 

n2r5( 

12 


7700  102t;ri-.^s3;; 
77|50  li»:;:-;:;i2'.»l  T 
7800  1i'4iM)i:;i.(in 
7850  1046  7  1:30^0 
79001053313167 
7950  10600  1:3250 
8(J00  10667  13? 
.8050  10733  1:3- 
8100  10800  13; 
8150  10867  1:3: 
8200  10933  i:" 
8250  noon  i: 
8:300  1106  7  1 
8:350  11133  1 
8400  11200  ^ 
.8150  11267  ^-,..  . 
.8.500  11333  1416. 
S550  11400  1425(1 
■sr.oO  114"~'''  *"•"" 
86  50  115 
870  0  1160  0 
■8750  1166' 
.880  0  1173: 
.8850  1180( 
8900  1186'. 
■^050  119:33 

•HI  0(1  1200( 

9(:i50  12067  lov'.^. 
.110  0  12133  15167 
M  5  0  12200  1525( 


1525 
1.5:3 
]  1.54 
155 
1.55 


9150  122  (H 
920(11226" 
i^2r,^)  1233 
'.i:Joo  1240 
9:350  1246 
*.i4(io  125:5 
".U50  1260 
9500  1266 
9550  127 
'.Hi  (Ml  12> 
<.h;5o  12> 
9700  l-ji 
9750  i:30».M'ii'i 
9800  1:3067  16 


1433 


5:3:31 1441 
1450" 
145  s 
1466 
1475 
1483 
1491 
1500 
1508 


0I1.575 
...  1.583 
33  1.591 

o|li;i>o 
.  I'lt"^ 

133  1616 
^00  1( 


5t 


9^5013133  IWl. 

9900  1:3200  16500  19800 

9^*50  1:3267  16583  IW 00 

100  0011:3:3:]  3  1(36  67' 200  0(» 


600 
60 


14800  1726 


149001 

].->ooi 
151  (X 
1.52  o( 
15:jOC 
1.j40( 


l..)Mii 
157  OlJ 
15.8,00 
15900 
16000 
161 0( 
16201 
16:;  0( 

it;4o( 

lOOo; 
lfi70( 
16s0( 
16900 
17000 

171  0( 

172  or 
r7:iot 
1740( 
1  75  0  ( 
1  76  01 
17701' 
17800 
17900 
1.8000 
1.8100 
l.S20( 
18:3001 

l."^Oi 
1S51M 

1N70( 
1SS()( 

iNOOt 

l'.K)0( 
191001 
T,i2( 
l'.i::i 

V.Hi 


r.H',(i( 

1970(,i| 


7000 
700 
70,  j 


173  s:: 

175(1  ( 

176  !■; 

177:3: 

17.^  5  ( 

1796'; 

ls(.^- 

1S20( 

18317 

184331 

18551 

1866  71 

ls7s: 

l.S'.M'K 

v.xn: 

191:;: 

19251 

19:3  6' 

1W83 

19600 

1971 

1^*833 

19(^50 

2006  7 

201  ,^;-] 

20:3  or 

2W17 

206  50 
2076  7 
208.^3 
21000 
2111 
212  3  o 
21350 
2146  7 

]5s;; 

17(M^ 
218 1  7 
nil  3  3 
22050 
22167 

i24on 
i25 1  7 
22t; :  f  3 
22750 
i2>(«7 
329^3 
2:3100 
2321 
2:33  3  o" 


8000 
800 

80  I 

197  :j: 
19^6' 

2(H10( 

2013: 
2026: 
204 ( 1 ' 
205:3: 
20(36: 
20s.0( 

2093: 
21c  6: 
212  0( 
2133: 

214 1;: 

216(11 
2173: 
21  St;: 

22(  1 0  ( 
221:3: 
2:2267 

224  0( 

225  3  ^ 
2266  7 

228  0( 

229  3  0 
2:3067 
2:3200 

2:3467 
2:3600 
2:3733 
2:3867 
2400(t| 
24133 
24267 
244011 
)45: 
M6( 
248  ( 
249;; 
f 
25200 
25:3  3  3 
2.546 
2.56  Ol»| 


2.5.^ » 

2(3000 

2(3133 

2626 

2(3400 

26533 

2666 


9000 

9oa 

90  I 

2:2200 

:2:2:;  50 
2:25(10 
22650 
22s  dO 
22950 
:2:;i(iO 
:2:;250 
2:3400 
.2:3550 
237,00 
;2:3850 
24000 
:24150 
:24:;o0 
:244  50 
24(;t0i0 
24750 
:249(tO 
2.5050 
2.5200 
2.5:350 
2.>500 
2.5650 
2.5800 
2.5950 
261  (»(') 
2(3250 
:2C40  0 
2(^550 
2(1700 
2(>850 
27000 
27150 
27:300 
27450 
276)00 
27750 
279  oO 
28050 
;2.8200 
28350 
28.5.00 
28650 
28^00 
28950 
29100 
21^*250 
2m  00 
29550 
297  0(^, 
29850 
:30l>(>0 


10    Table  thowing  the  Value  of  CORN  and  RYE— 56  lbs.  to  Bu. 


1000 
100 

loM 


^7 


45 


f: 


410^ 

4'28« 

440 

404^ 

4S-i' 

5:00" 
oi: 

5>>5' 
55;:!« 

5!T1* 
58'.)'^ 
00: 
0:3: 

0,4,,'2'-» 
000- 

Gi7;8« 
0004 

71 4;^ 
7o2' 
750" 

7|<')79 

7,S,5' 

8();j6 

8|21* 

8:U)'' 

8071 

8j7|5" 

8  9 '3^ 

01 0" 

0280 

94()* 

004'^ 

0'82' 

1000" 

lO'l  7^ 

10:;5' 

501 105;;° 

10,7  P 
lOSl)-' 
ll()7i 
1125" 
1142^ 
1100" 
1178° 


2000" 

3000 

200 

300 

20J 

30 

35  7,1* 

535  7 

89 

18 

l!l9 

18 

li79 

27 

288 

80 

208 

40 

711 '43 

1071 

75!0<> 

1125 

785^ 

1170 

821* 

1232 

8;57i 

1280 

8020 

138;0 

028« 

18  08 

004' 

144() 

100^0" 

15()() 

10 

•W 

15:54 

10 

711* 

10,0  7 

11 

071 

100  1 

11 

429 

1714 

11  7,8« 

170S 

12 14-* 

1S21 

1250" 

isr5 

12,85^ 

1020 

1821* 

108  2 

13571 

208(5 

1802» 

20  80 

142S'' 

2148 

14,04' 

2100 

1500" 

2250 

15::  5' 

280  4 

1571* 

•>;;  "^7 

10071 

2411 

1042» 

2404 

107  S" 

25  1  8 

1714' 

25  71 

1750" 

2025 

17'S5^ 

20  7'.) 

1821* 

278  2 

18,571 

27  SO 

1802'-' 

288  0 

1028''^ 

2S1)8 

10(54^' 

2040 

2000" 

8000 

2085' 

80  54 

2071* 

8107 

21071 

8101 

2142'J 

8214 

21  780 

82  OS 

22 14'-' 

88  21 

2250" 

8:;  7  5 

22  «  5' 

84  20 

2821* 

:MS2 

2;s 

5711 

35  0  0 

4000 
400 

40,1 

7143 

18 
2'4 
3,0 

48 

54 

14'20 

1500 
15  71 
1048 
1714 
17S(; 
1  S'5  7 
102  0 
20  0  0 
207  1 
214 
22  1  4 
22  s  ( 

24  20 

250  0 

20,4': 
27 1  4 
27  s  ( 

202  0 
:;o'oo 
80  7 
8148 
:;2 1  4 
82  S() 

84  20 
850  0 

85  7  1 
8048 
8,7,1  4 
87  SC, 
8S  5  7 
8020 
4000 
40  71 
4148 
42  1  4 
42  SO 
485  7 

44  20 
4500 

45  7  1 
4048 
4714 


5000 
500 

60,1 
8929 
-2 

3:o 

45 
6,0 

G,7 
178( 

IS  75 

1004 
2054 
21  -1 8 


24  1  1 

25  0  0 
25  s<) 
20 

27  OS 
2S  5  7 
204 1; 

80  8  0 

81  ,-.'5 
8214 
88  04 
8; !  0 ; ; 

84  S -3 

85  7  L 
8001 
87  50 
8S8  0 


6000 

600 

60,1 

107 1 '4 
2,7 
3,0 
5,4 

71 
8,0 
48, 
2250 

24 1;  4 

25  7  1 
20  70 

27  SO 
2Sl)8 
8000 
8107 
8214 
88  21 

84  2  0 

85  8  0 
804  8 

:  !s  5  7 

8004 
40  7  1 
4170 
42  SO 
48  08 
4500 
400  7 


7000 
700 
70,  I 


800tl 
81  -j 


8750 

;  ;s  7  5 
4000 

4125 
4250 
48  75 
4500 
40  25 
4750 
4S7  5 
5000 
51 ,25 


8020 

4714 

55  0( 

40  IS 

4S'J1 

5025 

4107 

4020 

57,50 

41  00 

5080 

5s'75 

42  so 

5148 

(;ooo 

48  75 

5250 

01  25 

44  04 

5)  1 5  7 

0250 

4554 

5404 

o:!75 

4048 

55  7  1 

0500 

478  2 

50  70 

00'25 

4S21 

57  SO 

075(; 

4011 

5S'.)8 

OS  7  5 

5000 

0000 

7000 

50  SO 

0)1  0  7 

7125 

5170 

02  1  4 

7250 

52  OS 

08  21 

7:;  75 

58,5  7 

04  20 

75  0  0 

.544  0 

058,0 

70  2  r, 

5580 

004:5 

77  5  ( 1 

5025 

0750 

7s  75 

57 1  4 

OS  5  7 

St  1 0  0 

5S04 

000)4 

SI  25 

5893 

7071 

8250 

8000 

800 

80,1 

14286 
0 


9000 

9001 

90| 

i6o'7ll 


:;714 
:  ;s  5  7 

4000 

4i4;i 

42  so 

44  20 

45  7  1 
4714 
4S5  7 
5000 
514;; 
52  s<; 

54  20 

55  7 1 
57 1  4 
5S5  7 
0000 
014  8 
02  SO 
<'421i 
05,71 
0714 
OS  5  7 
7000 
7l'4:; 
72  so 
7420 


S00( 

Sl4:i 


M20 
S5  7  1 
S7  1  4 


014:; 
02  si; 
fVi'29 


Table  showing  the  Value  of  CORN  <fe  RYE— Coxtini-ed.  11 


1000 
100 
10  I 

119G* 
12l!43 
12321 
1250" 
12fv» 

128:5' 

130:3« 
1321* 
13393 
13571 
1375" 
139'29 
141U' 
14218'^ 
1446* 

14  6  43 
14821 

15  U,U" 
151t7« 
15315" 
15536 
15711* 
158193 
100:71 
162  5"> 
16429 
1660' 
16786 
1696* 
17li43 
17321 
1750" 
17679 
1785" 
180:36 
182'!* 
183|93 
18571 
187;5f' 
18929 
1910' 
19286 
1946* 
19643 
19821 
2000" 
20179 
2035" 
20536 
2071* 
20  8  93 
210 

31  250 


2000 

200 

20 

2:^929 
24286 
24643 
25;00" 
2535" 
25,71* 
2607 


2642 

26786 
27143 
2750" 

2785" 
2821* 
28^5  71 
28929 
2928'^ 
2964^ 
3000" 
3035^ 


3250" 
3285" 
3:321* 
33571 
33929 
S4286 
3464 


;i57l* 
36071 
3642^ 


38929 
3928 
3964 
40!00 
4035 
4071* 
4107 
41429 
4178' 
4214 
42150' 


3000 

300 

30 

3581 

364.' 

369* 

375(JI 

380,4 

3857 

3911 

3964 

4<J1S 

407] 

412: 

4171 

423:. 

42  8  ( 

43:51 

439: 

444( 

45  0( 

4554 

4607 

4661 

4714J 

476 

4.S21 

4.S 

4929 

4982 

5036 

5081 

514:: 

51 9  C 

5250 

5304 

5357 

5411 

54641 

5518 

5571 

5625 

567 

573 

5786 

5839 

5893 

5946 

6000 

6054 

6107 

6161 

62141 

62  6  S 

6:^21 

63751 


4000 

400 

40 

47  S( 
4S51 
4921 
5<  M I  ( 
rA)7l 
514:1 
52l'4J 
52  8  ( 


5. ) ( )  I 
55  7  1 
5643 
5714 
5786 
5><5T 

600(1 

6071 

6143 

62141 

62  8  ( 

635' 

W21 

a50( 

a571 

(3643 

6714 

6786 

6857 

6929 

7000 

707 

714 

72141 

7286 

7357 

74211 

750(1 

7571 

764:; 

77141 

7786 

7857 

79211 

800(1 

a)7i 
814;; 

8214 
82  S( 
8:3  5-: 
8421 
8500' 


5000 

500 

50 

5982 
60 
(■>]  6  1 
62  5  < 
6:J31 
&121 
6x5  U 
66  01 

66  9  ( 

67  S( 

6s7r 

6964 
7054 
71 43 
72  o  f 
732? 
7411 
75  0( 
7581) 
76711 
7768 
7857 
7946 
80  3  C^ 
812 
8214 
8:30-1 
8:393 
8482 
&571 
8661 
8750 
,883 
8929 
9018 
910 
9196 
92  SC 
9375 
l»4f;4 
95541 
1X543 
9732 
9821 
91^)11 
10OO( 
l(H)Mt 
101  79 
102t;^ 
10357 
1(H46 
10536 
UH)25i 


6000 

600 

60 

7171 

72  8  f 
739:]| 
75  ( I 
7(;o 
771  4i 
7S21 
7921! 
8036 
8143 
82  5  ( 1 
So  ."J 
846  41 
8.5  71 
8(371 
87  8  C 
8s9:-J 


7000 

700 

70 

8:37: 

8500 

8< 

87501 

8^ 

IKIOO 

91 

9:i50 

93  75 

9500 

97501 
98  75 

10000 

101 

1025(H 

103 
9000110500 


9  1 


910 

9214] 

9321 

94211 

953(1 

1K34:3| 

97  5  ( 

985 

99641 

10071 

10171 

102S( 

1039: 

10501 
0607 

10714] 

108 

10929 

11036  1 

11143 

11250 

1135 

1146 

115  7 

116  7 
1178 
11893 
1200( 
1210" 
1-2214J 
12321 
124211 
12.53(1 
12643 
I2750I 


8000 

800 

80 

9571 


971410929 


9.85' 


10000  1125;0 
10143  11411 
1028611571 
10429  11732 


10571 
107141 

108 


1114:; 

ii2.s(; 

11421! 

11571 

11714] 

118 

12000 

121 4  ^ 

122861 

1242 

12571 

12714 


9000 
900 

90  I 
1(J7^8 


11089 


11893 
1205'4 
12214 


11000  1:>:J75 


1:30  001 

1:314 

132861 


106.2i 

10750 

108,75 

11000 

111 

11250 

113 

11500 

116 

11750 

11875  1:3571 

120001:3714 

12125  1:3857 

1225014000 

1237514143 

1250014286 

1262514429 

12750  145  71 

.28  75  14714 

1:3000  14,857 

1:31  25  1500  ( 

1:3250  1514:-^ 


1285  7  14464 


1:3375  15286 
1:3500  1:5429 
1:3625  15571 


D  1.>T 

13750  157141 
1:3875  15^51 
14000  1(')00( 
141  2  5' 161  4  :;| 
14250!l(;2S( 
14:;  75  ltU2l 
14500  Km 71 
14(5  25  l(i714j 
14750' U)8  5 


14875  1700  till  91  25 


1253,6 
12696 

12857 
1:3018 
i:;i79 

p;;339 

V.ioO'Q 
i:3661 

1:3.821 

1:39  8  2 
14143 
14304 


14625 
14786 
14946 


i:3429|1.5107 
1.5268 
1.5429 
1.5589 
1.5750 
1.5911 
l(X;i71 
16232 
1C>:]98 
l(i554 
1(;714 
16S75 
17036 
17196 
17357 
17518 
17679 
S3  9 

isooo 
isuu 
is;;  21 
1<182 
l.s<;43 
1S.S04 
18964 


Table  showing  the  Value  of  OATS— 35  lbs,  to  the  Bu. 


1000" 
100, 

10  ! 

28571 

143 

2P 

485^ 

5'1:4=^ 

5'43» 

5,7:1* 

62:8« 
6,5i7i 

G85^ 

7ti;4^ 

7412^ 
7|7|1* 
8000 
82;8« 
8i5,7^ 
885' 

9;i!4^ 

942° 
9,71* 
100:00 
10;2,8« 
10,571 
10;85^ 
ll'l'4^ 
11:42^ 
1171* 
12  00" 

12,85" 
13,14^ 
1342° 
13,711* 
14,0U" 
1428« 
14571 
1485' 
1514' 
154|->° 
1571^ 
lOO'o" 
162;8« 
16571 
168.5' 
1714^ 
1742° 
17711* 
18(>'0" 


2000 
200 

20  I 
5714' 


43 
90 

4-J» 
97  P 
102S6 
1085- 
1142° 
1200" 
12571 
13143 
1371* 
14280 
1485' 
1.5429 
1600" 
16.5'7i 
1714^ 
177,1* 
182  so 
1885' 
1942° 
20000 
20571 
21143 
2171* 
2228^ 
22  S5' 
2342° 
2400" 
24571 
25143 
25  71* 
262  S6 
2685' 
2742° 
2800" 
28571 
29143 
2971* 
30  28'i 

:;osr)' 

3142° 
:j;JOO" 

32571 

.3371* 
:34286 
3485' 
a542° 
36000 


3000 
300 
30  I 

8571 

21 

29 

|4|3 

,57 

64 

145  7 

1543 

1629 

1714 

180(1 

188(; 

1974 

205  7 

21  43 

2'3'H) 

23^4 
2400 
2486 
2571 
265  7 
2743 
28;>1) 
2914 
,3000 
30'8(3 
3171 
3257 
334;3 
3429 
35  1  4 
3<U)0 
36)86 
377,1 
38  .-,7 
394o 
40;j9 
41  14 
420,0 
428,6 
437|1 
445  7 
4543 
4629 
4714 
4800 
4.S86) 
4971 
.5057 
.5143 
.5229 
.5314 
5400 


4000 
400 
40  I 

11429 
29 

3,8 
.5,7 
76 

86 
1943 

20  5  7 

21  71 
228(; 
2400 
25  1  4 
2629 
2743 
285  7 
2971 
3086 
3200 
3314 
3429 
3543 
3657 
3771 
3886 
4000 
4114 
4229 
4343 
445  7 
45  71 
468(5 
4800 
4914 
.50  29 
51  43 
525  7 
5:;  7 1 
.■)48H 
.5600 
.5714 
58  29 
.5943 
(JO  5  7 
6171 
6)2  8  (; 

(•>:>  1  4 

6629 
6743 
6^5  7 

69  71 

70  80 
7200 


5000 
500 

50  I 
14286 

,3,6 

9,5 

10,7 

;M29 


:;oo( 
314; 


35  71 
3714 
3857 
4000 
414:; 
4280 
4429 
4571 
4714 
4.S57 
.5000 
514:; 
.528  0) 
5429 
.5571 
.5714 
.5857 
6)000 
61  43 
6286 
6429 
6571 
67  1  4 
(;f^5  7 
7000 
714  3 
72  8  0 
7429 
7571 
7714 
78  57 
80  00 
8143 
82  8  0 
M29 
85  7 1 
8714 
8857 
9000 


60001 
600 

60|  [ 
17143 
4 
5,7 

8 
1 


2|9 


I'A 

:;(■)()(» 
:;7,7 1 
:;94: 

41  1- 

42  8  ( 
445^ 
462'. 
480( 
49  71 
514: 
5:;  1  4 
.54  8  ( 
.565^ 
58  2 '. 
(;(!0( 

(;i  71 
(i:;4:; 
»;•)  1 4 

6681 

<;8  5'; 

7029 
720(1 
7371 
754  a 
7714 
7886 
80  5: 
82  2 '. 

84  0( 

85  7 1 
874: 
89 1  4 

90  81 

925^ 
942'. 

9(;oo 
97  7 1 

9',I43 
1 01 1  41 
1(V28( 
104  51 
1062'. 


70001 
700 

70,1 

2000 
5,0| 
G|7 
0(* 


1 

1 

1501 
340( 

;36o( 
:)8|(M 
4o'()( 
420( 
44!o( 

4(;,o( 

48()( 

500  ( 
.5201 
.54Vl( 

5(;|o< 

.58  (H 

(;(io( 

62 1 H 

(■)4|o< 
66  0( 
08  0( 
700  < 
7200 
74'00 
70  0» 
781(10 
8()'(l( 
820  ( 
84  (I  ( 
8000 
88  o( 

<KIO( 

92  (M 
940< 

•h;o( 
'.isn( 

100!)( 
10201 
1040( 
l(i(i()( 

1  ( IS  ( )  ( 
1100( 

112ot 

ihVm 

11601 

n8iir 

1200( 
1:32011 
124-00 


10800«126'00l 


8000 
800 

80  I 
22857 


017 

IVA 
15- 
171 

;i8  8( 

41  1^ 
4:;  4; 

45  71 
48()( 
.50  2'. 
5:J  .5 ' 
.54  8  ( 
57  I  4 
.594: 
617] 
(40( 

(;(;2'. 

(is.-)' 

708( 

73 1  4 
754: 

77  7] 
800( 


84 
86 

S'.t  1  4 
914: 
9:;  71 
<.t60( 


10( 
10-J 
10514 
1074: 
109  7  1 
II200I 
114  2'. 
1165' 
1188( 
121  1'41 
l:i:;4 
1 25  7 
1 2s  0  0 

i::;o2'. 
i:;25-; 
];;4s( 
i:;714 
i:;943 
14171 
1440:0I 


9000 

900 

90,1 

2571,4 
64 
86 


4371 
46*29 

48  8(5 
5l|43 
.^'00 
.5657 
.5914 
6)171 
(429 
66  86 
()943 
7200 
7457 
7714 
7971 
8229 
Hl'86 
87,'43 

wo'o 

9257 
9514 
9771 
100  29 
102  8  () 
10543 
10800 
11057 
11314 
115  71 
11829 
120  8() 
12343 
l;J(;oO 
12857 

131  1  ;4 

133  71 
13629 
i:j8s(; 
141  4  3 
14400 
1465  7 
14914 
1.5171 
1.5429 
1.56s() 
1.5943 
1620!0 


Table  showing  the  Value  of  OATS— 32  lbs,  to  the  Bu.     13 


1000 
100 

'°  I 

3125' 

i  Irs 


5625 

59:38 

625'^ 

656^ 

6875 

7188 

7o0^' 

7813 

8125 

8438 

875^^ 

9U63 

9375 

96S8 

1000' 

1031=^ 

10625 

1093^ 

ll'2of' 

ll'o63 

11875 

12188 

1250^^ 

1281 

13125 

1343' 

131 

14063 

1437 

1468 

15  0:0 

1531 

15625 

1593 

1625 

1656 

1687 

1718 

1750" 

1781 

18125 

1843 

1875 

1906 

1937 

19688 

20000 


3000 
300 

30  I 


4000 

400 

40 


5000 

500 

50 

1562 
j39| 

178 

104 

11 
2813 
2^)69 
3125 
3281 
.^381 
3594 
3750 
3906 
4063 
4219 
4^ 

4531 
4688 
4844 
500 
515 
5:31 
54691 
5625 
5781 
59  3  ^ 
60941 
625 
640q 
a56 
671 
687 
7031 
718 
73441 
750* 
76  5 1 
78 1:: 
79  6  c 
812  c 
8281 
843 
8.5  9  4J 
87  5  ( 
S90«j| 
906 
9219 
9;' 

9531 
9688 
9844  11813113' 


60001 

600 

60 

1875  c 

m 

1:J.- 

141 

3:]  7." 

:356o 

37  5 1 

39;;^ 

412.- 
43  1 :: 

45  ( 1 1 

46  s- 

4s::: 

50  6 1 
52  5  ( 
54  3  > 
bt:>  -i ' 

5.S  1  ;- 

6(M)( 

61  s> 

m:' 

fK)f,:-, 
67  5  ( 
69  3  > 
712.= 
731? 
75  0( 
76>«> 
7b  7.' 
806;: 
.51  82501 
8438 
8<')25 
8813 

CX  )  (  M  1 

91  s> 

9;-;7.T 

95  60 

9750 

9938 

10125 

10313 

105  OU 

10688 

10875 

11063 

11250 

11438 

11625 

1 

iOO 


0  r 


70001 

700 

70 

21875 

155 

73 

109 

146 

164 

39;js 

4156 

4/ 

4.' 

4s  1  :j 
.5<t;n 
5:J  5 
.546 
568 
59  0(^ 
612.= 
6:^4^ 
t).56; 

or  SI 

7i»t)( 
72 1 1 
74  3  > 

7t;5»; 

78  7. T 
80  94 

^n  3 

b.531 

8' 

91  >- 

iWO«^ 

962 

9844 
l(Xt6;j 
10281 
ln50( 
1071'. 
109:;- 
1115fJ 
113  7 
11.59 
1181:: 
12031 
122o( 
1246'. 
1-26.^? 
12^>06 
1.3125 
13344 
13563 
781 


10000«12000ll4000ll6000lia>00 


4  1 


80001 
800 
80  , 

25000 

161 

1,88 

4500 

47  5  ( 

.50  0( 

.52  5  ( 

.5.501 

57  5  ( 

6000 

625 

65001 

675 

7000 

725 

75001 

775 

8000 

8:250 

8500 

875 

9O0C^ 

925 

a500 

9750 

lnoo( 

lo-J5( 

10501 

1075  ( 

11000 

1125(1 

11501! 

1175C 

1  •?!  1 0 1 

l-i-i5(^ 
1-25 1 U 
12750 
i:]ooit 
250 
1:5.5  00 
1:5750 
140  or 
14250 
1450(! 
14750 
1.5000 
1.5250 
1.550( 
1.57501 


9000 

900, 

90, 

281 2'5 

170 

94 

141 

I'm 
21I1 

.506:^. 

.5:544 

.5625 

.5906 

6188 

W69 

6750 

7031 

73,13 

7594 

7875 

8156 

84:?8 

87 1 9 

9(.>00 

9281 

956?{ 

9s44 

10125 

10406 

10688 

10969 

11250 

11.53 1 

11813 

12094 

12:575 

12656 

12938 

1:52  1  9 

1:5.500 

1:5781 

140  6:5 

14344 

14625 

14906 

1.51  s  8 

1.M69 

1.5750 

ia»:51 

Kw  1 3 

U5594 

16.^75 

17156 

17438 

17719 


14 

Tab 

le  showing  the  Value  of  BARLEY— 48  lbs 

.  to  the  Bu. 

si 

1000 

2000 

3000 

4000 

5000 

6000 

7000 

800C 

9000 

loo; 

200, 

300. 

400, 

500 

600 

700, 

800, 

900. 

M 

lOil 

20|  1 

30, 

4o; 

60,  1 

eoj 

TOj 

80  1 

90 

Bush. 

20S33 

416,67 

62I50 

8333 

104,17 

12500 

145  8,3 

1666; 

1875,0 

2>.i 

52 

10* 

1,0 

21 

28 

2:0 

31 

30 

4:. 

j4;7 

«    78 

0» 

139 

21 

35 

42 

49 

5( 

63 

F  ^ 

10* 

208 

31 

42 

52 

03 

73 

81 

9^ 

L39 

278 

42 

5,0 

09 

83 

97 

111 

125 

L56 

318 

4i7 

03 

7,8 

94 

1 

09 

I2f 

141 

.45 

9375 

18 

75" 

28 

l'3 

3750 

4088 

.50 

OK 

65(;;3 

750t 

843,8 

.40 

9!583 

19 

1:0^ 

28 

75 

3833 

47192 

5750 

0710  S 

70  or 

8625 

.47 

0|792 

19 

583 

29;3;8 

39:1  7 

4890 

58,75 

0854 

78;3> 

8813 

.48 

1000" 

200;0" 

30  )0 

4000 

5000 

0)000 

700( 

800,( 

IKIOO 

.41) 

102  0" 

204  P 

30:03 

40s;; 

5104 

(;i25 

71 '4  ( 

81  (;,'■ 

9188 

.50 

104  H 

20  83^ 

31*25 

41,07 

5208 

025  0 

7202 

833; 

9375 

.51 

100  2^ 

2125" 

31  S  8 

4250    53113 

6;"J75 

74:;s 

85,0( 

9563 

.52 

los;;'' 

21  ;o^ 

32,50 

4;; 3 3    5417 

050  0 

75  s; 

866'- 

9750 

.53 

11()'4- 

22();s-'' 

33|l  3 

44'l7    55I2I 

0025 

77:21 

883'- 

9938 

.54 
.55 

1125" 

ii;45'^ 

2201' 

3);;  7  5 
343  s 

4500    50  25 
45  S3    57  2  0 

0750 

(;s75 

7S7r 

80  21 

90,0( 
91 0,'- 

101  25 
10313 

.50 

11  00^ 

23  33'* 

35,1 1,0 

400  71  5s:;3 

700( 

SI  0  7 

o:;:;; 

10500 

.57 

11VS,7-^ 

23[75" 

:55;()3 

4750'  5938 

7125 

s:;  1 ; 

05  0( 

100S8 

.58 

12'08^ 

24 1 1;- 

30'25 

4S3;;    (;o:42 

72  5  ( 

S4  5S 

000'" 

10S75 

.59 

122>== 

24:.S' 

:i(;ss 

4017    01,40 

7: ;  7  5 

SC.04 

os;;: 

11003 

.60 

12,5:0" 

2:)  0  0" 

;;ir)0 

50001  0250 

7500 

S7  5( 

1000( 

11250 

.01 

12f 

-o« 

2541' 

3Sil;3 

5083*  (i354 

70  25 

ssoc 

1010'- 

11438 

.62 

12' 

)\v 

25 

S33 

387i5 

5107    0458 

7750 

90  4  2 

1033: 

11(;25 

.03 

13] 

[2^ 

20 

35" 

3938 

52150 

(J503 

78  7  5 

01  SS 

1050( 

llSl'3 

.04 

13'; 

y 

20 

50^ 

40 

00 

5333 

0007 

80,00 

0:;;;:) 

100)07 

l;iOOO 

.05 

135142 

27 

083 

40 

0|3 

54|l:7 

0771 

81  25 

*t4  7'. 

1083';- 

121  8,8 

.0(5 

13,75" 

27 

50" 

41 

2*5 

55,00 

08,75 

8250 

0025 

1100( 

12375 

.67 

13,9,5« 

27 

)V 

418:8 

5583 

09(7,9 

8:;  7  5 

07  71 

11107 

12503 

M 

14 10^ 

1437s 

28 

333 

4250 

5007 

70;83 

85,0,0 

0017 

n:;3; 

l;3750 

.09 

28 

75" 

4313 

575;0 

71*88 

8025 

1000:; 

1150( 

i;io:3;8 

.70 

14583 

29 

10^ 

4375 

58'33 

7202 

8750 

1020s 

110,07 

13125 

.71 

14792 

29 

583 

4438 

59117 

7:]  90 

8S  7  5 

10:;  5  4 

lis;;; 

i;;3i3 

.72 

i5o!()" 

30 

00" 

4500 

ooo|o 

7500 

1K)00 

10500 

l;joo( 

i:;5o0 

.73 

ir)2o« 

30 

\V 

4503 

6083 

7004 

9125 

100'4  2 

12107 

i:;os8 

.74 

154|l' 

30 

833 

4025 

oi'<;7 

7708 

925  0 

10702 

123;;: 

i:;s75 

.75 

1502^ 

31 

25" 

40,88 

0250 

7s  1:; 

9:;  7  5 

loo:;s 

1250( 

14003 

.70 

15,8  33 

31 

60^ 

47:50 

03:33 

701  7 

0500 

110s;; 

l;iOt;7 

14250 

.77 

10042 

32 

0S3 

4sV:! 

04 '1  7 

SO  21 

'.Ki25 

11220 

1283: 

144;;  8 

.78 

1025" 

32r)'0" 

4S75 

0500 

SI  25 

0750 

11:;  75 

i:;oo( 

14025 

.79 

104  5" 

3201- 

403  S 

05  s;; 

S2  2  0 

OS  7  5 

11521 

i:;i07 

14813 

.80 

100(i' 

3;i33'' 

5000 

000  7 

8:;:;:; 

10000 

11007 

l:;:;3: 

15000 

.81 

10  8  7^ 

33  75" 

50  03 

07,50 

84  3  s 

1012  5 

lisi:; 

i:;5o( 

15188 

.82 

1708^ 

341  !0^ 

51  25 

OS:;:; 

8542 

1025(1 

1105S 

i:j(;o7 

15;;  75 

.8:3 

172,92 

34  5  S'^ 

51  SS 

094  7 

804  0 

10;;  7  5 

12104 

i:;s;;; 

15503 

.U 

175,0" 

350,0" 

5250 

701)0 

8750 

10500 

12250 

]400( 

15750 

.85 

17,7,0« 

354!r 

53 1  3 

70's:} 

8S54 

10025 

12;;  00 

HUm 

15038 

M\ 

17  Oi- 

35s:j- 

5;!  75 

7107 

80  5  s 

10750 

12542 

14:;:;: 

10125 

.87 

ls  12^ 

3025' 

5438 

7250 

*HMi:; 

10S75 

120SS 

14501 

ir):;i3 

.KS 

]S33^ 

300(;' 

5500 

7:;:;;; 

010  7 

110  00 

12s;]:; 

14007 

10500 

.89 

IS  5  42 

37  OS'* 

5503 

74  1  7 

02  7 1 

11125 

12070 

us;;;; 

looss 

IV> 

1875' 

37.50" 

5025 

75,0,0 

93  75 

1125,0 

13125 

150,00 

1087,5 

.91 

18 

95« 

37 

91^ 

50 

m 

75'83 

04 

7i> 

113 

7I5I 

132 

71 

I51I07 

17063 

Table  showing  the  Value  of  CORN 

in 

Ear— 

70  lbs 

toBu 

.     15 

^  ( 

1000^ 

2000' 

3000  4000 

5000 

6000 

7000 

8000 

9000 

■^\ 

100 

200 

300     400 

500 

600 

700 

800 

900 

M 

10  1 

20  1 

30  1    40  ( 

50,  ! 

60  ] 

70  , 

80 

90  1 

Bush. 

i42  8« 

28571 

4286   5714 

7143 

857,1 

lOOOO 

11429 

12857 

S'K 

1  M^ 

!l43 

'21        29 

36 

43 

'50 

.57 

614 

8.20 

2857 

571* 

'8571  1143 

14129 

1714 

2000 

2286 

2.571 

•^.21 

30po 

6000 

9,001  1200 

1500 

180  0 

2100 

2400 

2700 

C.22 

31:43 

6286 

943 

1257 

1.517  I 

1886 

2200 

2514 

2S29 

?.2:3 

3286 

6571 

980 

13,14 

1643 

1971 

:^;3  00 

2(;'J9 

2957 

.24 

3429 

685' 

10  2 'J 

I'vi 

17|l4 

205  7 

2400 

2743 

30  86 

.25 

35,71 

7143 

1071 

1429 

17,s(; 

214:; 

250,0 

2857 

3214 

.26 

371* 

742^ 

1114 

1486 

18,-5  7 

22  2  9 

26'00 

2971 

3343 

.27 

385' 

771* 

1157 

1543 

1929 

2314 

2700 

3086 

;347,1 

.28 

400''^ 

8,000 

8286 

1200 

1600 

20 

00 

2400 

28,00 

3200 

3600 

.21) 

4143 

1243 

1657 

20 

71 

2486 

2900 

3314 

3729 

.30 

4286 

8:5,71 

1286 

1714 

21 

43 

2571 

3000 

3429 

38.5,7 

.31 

4429 

88,57 

1329 

17;71 

22 

14 

265  7 

310,0 

3543 

3986 

.32 

45,71 

9143 

1371 

1829 

22 

86 

2743 

32,0,0 

.3657 

41l|4 

.3;j 

471* 

9;429 

1414 

1886 

2;3|5  7 

2829 

33,00 

37  71 

4243 

.34 

4,85^ 

971* 

145,7 

1943 

24 

29 

2914 

34TJ'0 

;;sst', 

43  71 

.35 

500^ 

lOO'Oo 

1500 

2000 

25 

00 

3000 

3500 

400  0 

4500 

.36 

5l'43 

10,2,86 

1543 

2057 

25 

71 

3086 

36,0,0 

4114 

4629 

.37 

5,286 

105,71 

1586 

2114 

26 

43 

3171 

37,0,0 

4229 

4757 

.38 

5429 

10857 

162  9 

2171 

0- 

u 

325  7 

380;0 

4343 

4886 

.3'.) 

5571 

11143 

16  71 

222  9 

27>>6 

3343 

390,0 

4457 

5014 

.40 

5  71* 

11429 

1714 

22  s  6 

2815  7 

3429 

4000 

4571 

514|3 

.41 

5  8  57 

1171* 

175,7 

2343 

29 

29 

3514 

410,0 

4686 

5400 

.42 

6000 

12,0,00 

i8o;o 

2400 

00 

3600 

42,0,0 

4800 

.43 

6143 

1228« 

1843 

2457 

71 

3686 

430,0 
440,0 

4914 

5529 

.44 

6286 

12'57i 

1886 

2514 

31 

43 

3771 

5029 

56.57 
5786 

.45 

6429 

12857 

1929 

2571 

32 

14 

3857 

450,0 

5143 

.4<5 

6571 

13143 

1971 

2629 

3286 

3943 

460,0 

5257 

.5914 

.47 

6,71* 

134,29 

2014 

2686 

335  7 

40  2  9 

47,00 

.53  71 

6043 

.4.8 

6  8  57 

13  71* 

205,7 

2743 

3429 

4114 

480!0 

.5486 

6171 

.49 

700'^ 

14000 

210,0 

2800 

3500 

4200 

4900 

.5600 

(>J00 

.50 

7143 

142'86 

2143 

2857 

35  7 1 

42  si; 

.500,0 

.5714 

6429 

.51 

7289 

14571 

2186 

2914 

3643 

43  71 

.5100 

5829 

(55.57 

.52 

7429 

14857 

2-2,29 

2971 

3714 

445  7 

52;0'0 

5943 

668,6 

.53 

7571 

15143 

a'^vi 

3029 

3786 

4543 

.5:300 

6057 

681 

4 

.54 

771* 

1542» 

2S1|4 

3086 

385  7 

4(;2  9 

.541K) 

6171 

694 

3 

.55 

7  8  57 

15  71* 

235,'7 

3143 

392  9 

4714 

.550  0 

6286 

707 

1 

.56 

800'^ 

ir,(i()0 

24  00 

32(10 

4(M)0 

4s  0  0 

5(;oo 

(hi  00 

720 

0 

.57 

8 143 

It;  286 

244'3    32571 

4(V7 1 

4s.s(; 

.57|0  0 

6514 

7329 

.58 

8286 

165  71 

2486 

3314 

4143 

49  7  1 

.5S00 

6629 

7457 

.59 

8429 

16  8  57 

2.529 

3^371 

42 1 4 

.5057 

.590  0 

6743 

liT 

.60 

8571 

17143 

2571 

3429 

4286 

.5143 

6(f00 

fi857 

78  4i 

.61 

8,71* 

17429 

2614 

3486 

435  7 

.5229 

610  0 

6971 

.62 

8  8  57 

1771* 

265  7 

3543 

4429 

.5314 

62,00 

7086 

7971 

.63 

900*^ 

18(H)0 

2700 

3600 

4.5|00 

.5400 

(v)00 

7200 

8100 

.64 

9143 

182S6 

2743 

3657 

45  71 

.548(5 

(UOO 

7314 

822,9 

.65 

9286 

18571 

2786 

3714 

4643 

.55  71 

(>5(tO 

7429 

.S:;.5,7 

.66 

9429 

18  8  57 

2829 

3771 

4714 

.5(55  7 

(iiKU) 

7543 

8486 

.67 

9571 

10143 

2871 

3S529 

47  86 

.574:; 

(;7oo 

765  7 

861|4 

.68 

971* 

19429 

2914 

Mssc, 

4^.5  7 

.5S'.".l 

(;>oo 

7771 

874^3 

.69 

9'857 

1971* 

295  7 

;;'.)4:; 

40-0 

.5914 

(;<.ioo 

7886 

88  7!l 

.70 

10000 

2000«> 

oOOO 

4000 

50 

ooi 

6000 

70  00 

8000 

90  Oi 

0 

16  Table  Showing  Value  of  CORN  in  Ear— 75  &  80  lbs.  to  Bu. 


2'  ( 

1000" 

2000 

3000 

4000 

5000 

6000 

7000 

8000 

9000 

^\ 

lOOi 

200 

30( 

) 

4001 

5001 

6001 

7001 

800 

90( 

) 

M 

10 

20j 

30 

40 

CO 

60 

70 

801 

90 

Bush. 

13 

h' 

2666' 

40 

30 

53 

u 

66 

^b 

80 

DO 

9333 

■nt? 

120 

30 

:?H 

lO- 

183 

2  0 

-V 

;;{ 

1  ) 

47 

50 

1-^1 

0 

^'O" 

5 

300 

8- 

U) 

IK 

20 

14 

10 

10 

SO 

19( 

;o 

;224  0 

25 

20 

•u.2:a 

0 

t8'* 

r 

W 

8^ 

iO 

IK 

■^8 

14 

37 

17 

;o 

20. 

>;5 

28  4  7 

20- 

10 

^.33 

8( 

)0' 

OJ 

33 

9: 

0 

12  r 

27 

15 

!;> 

18 

40 

21  417 

;2458 

27 

30 

=  •24 

8: 

*0^ 

0- 

10" 

9( 

0 

12.^ 

>0 

i<; 

)() 

19 

20 

224J0 

;25(5( 

;28^ 

iO 

F-.sr, 

8: 

533 

0( 

56- 

lot 

0 

18; 

'i'^ 

10 

57 

20 

)0 

O'J ; 

■!;> 

;20(;7 

80 

)0 

D?-'^<> 

3- 

M)^ 

01 

133 

10  ^ 

0 

18  ^ 

^'~ 

17 

^1-' 

20 

S|0 

24- 

'7 

;27T8 

31 

20 

-  07 

•Si 

500 

7^ 

20" 

10.^ 

<0 

14- 

tl() 

is 

)!(. 

21 

(1 

;25 ; 

2|0 

28  S  0 

32 

10 

^28 

8' 

-03 

7;J 

te^ 

11  r. 

0 

141 

\-' 

18 

■'[7 

4) 

20 

i;; 

;29S7 

.8:5 

50 

.29 

8^ 

^0^ 

7'' 

-33 

IK 

0 

15. 

' 

11) 

0;; 

20 

271 

'!7 

;5oii;! 

84 

>0 

.80 

41 

IQO 

8( 

)0" 

12  ( 

0 

101 

'III 

;2()( 

Ijll 

24 

)0 

28o|o 

;!2o( 

:;o( 

)0 

.81 

4 

33 

8^ 

20^ 

12-! 

0 

10: 

*i'* 

20  ( 

)7 

24 

SO 

28' 

8 

;380  7 

;57 ; 

20 

.82 

4: 

JO- 

8" 

)83 

12  > 

0 

17( 

' 

2K 

58 

25 

() 

29  S  7 

84 1 :5 

;5s  - 

10 

.88 

4- 

10^' 

8.^ 

U)" 

18-. 

0 

17  ( 

0 

22  ( 

)0 

2(5 

1) 

80  SO 

8521 

;59( 

50 

.84 

4.= 

)83 

9( 

)0' 

18  ( 

0 

IS] 

h 

22  ( 

57 

27 

2. 

81 ' 

8 

30;2  7 

40  i 

^0 

.8.5 

4( 

)0" 

9: 

533 

]4( 

0 

]S(;;7 

;2;5; 

!:5 

2S 

(. 

82017 

37  >)  ;5 

42  ( 

)0 

.80 

4f 

50<' 

9( 

30" 

14^ 

0 

11-2  > 

;24( 

>0 

2S 

slo 

88!(;!<> 

8S40 

4:;; 

20 

.87 

4' 

)8^ 

9  J 

>0" 

14> 

0 

19' 

•J 

;24( 

57 

2i) 

5I0 

;]4:.:; 

;;u3  7 

44- 

10 

.88 

51 

)0" 

101 

83 

15: 

0 

;2o; 

7 

25; 

58 

80 

10 

:;:.  1 ; 

411:.;:; 

45  ( 

50 

.89 

5: 

20" 

10- 

tO" 

15  ( 

0 

;2(i> 

0 

;2(U 

30 

81 

20 

8»5,4|t) 

41:00 

40  > 

<0 

.40 

5: 

533 

10  ( 

50^ 

KU 

(» 

;2i; 

);3 

20  ( 

•  7 

82 

)0 

371 

58 

421(5  7 

48  ( 

30 

.41 

5- 

[6^ 

101 

)33 

1(H 

0 

21  > 

■>7 

27- 

58 

82 

•;o 

38^ 

27 

48178 

49; 

20 

.42 

5f 

jOf 

n- 

20" 

10.^ 

^0 

22- 

\() 

281 

;o 

38 

;o 

81)|: 

M) 

44!so 

50- 

to 

.48 

5' 

-33 

11- 

M3- 

17; 

>0 

22 1 

1 8 

28 

»7 

84 

10 

4ok; 

45S,7 

5K 

50 

.44 

5i 

iQ' 

11 '■ 

33 

17  ( 

0 

2;!  - 

tr 

29; 

5;5 

85 

2) 

41;0:7 

40^1;; 

52  > 

^0 

.45 

0 

)Oo 

121 

300 

ISC 

0 

24  ( 

)0 

80 

to 

80 

)) 

42:0|0 

4SOjO 

.54  ( 

)0 

46 

0 

L33 

12: 

20^ 

18^ 

0 

;i4; 

")8 

30 

57 

3(5 

S() 

4211!;; 

41>'o!7 

55; 

20 

.47 

0 

>0" 

12. 

333 

18): 

0 

25 

)  7 

31 

53 

87 

)0 

4:;s7 

5018 

50- 

JO 

.48 

0- 

10" 

12. 

^0" 

19^ 

0 

25 

')() 

82 

30 

8S4:0 

44  so 

51  ^^O 

57|( 

iO 

49 

0 

533 

18 

3  0' 

19( 

50 

20 

'.] 

32 

57 

81)!:J() 

45  7;; 

5;2j27 

5Sif 

50 

..50 

(•) 

)0' 

18 

)83 

201 

0 

20  ( 

57 

88 

5  ;5 

40 

)0 

4o;oi7 

5:553 

(50  ( 

30 

Bush. 

12 

50" 

25 

30" 

37. 

0 

50 

DO 

62 

50 

75<- 

DO 

8750 

loopp 

112 

50 

-  V 

03 

12^ 

9 

25 

n 

5S 

14:4 

i5l() 

? 

)6 

=^.22 

0 

r5o 

5 

SO" 

8; 

25 

11 

30 

13' 

"^5 

16 ! 

50 

192  5 

;22oo 

;24'" 

"5 

5.ri8 

0 

^75 

5 

r5o 

8( 

58 

11 

U) 

14; 

58 

17; 

25 

;20l!;i 

;2;;oo 

25  ,*■ 

vS 

1.24 

3 

300 

0 

30" 

9( 

)0 

12 

)0 

15 

>() 

1 S  ( l'( ) 

;.'l  I'o 

;24O0 

;27( 

30 

?.25 

3 

125 

0 

250 

9 

iS 

12 

>o 

15 

>'] 

is;:, 

;J1  ^^ 

;25'oo 

;>8] 

N 

P-.26 

3 

250 

6 

30" 

9 

%5 

18 

)0 

10; 

2  5 

liir.M 

22  '1  5 

2(500 

»()• 

5 

-g.27 
|.28 

3 

376 

0 

750 

101 

8 

18 

50 

10.^ 

-is 

;20:2,5 

;2;;i>;! 

27'o'o 

8(  8:8 

3 

500 

7 

30" 

10: 

)0 

14 

to 

175i> 

:2]  00 

;23r)0 

•js  ( ),u 

;;i50 

".29 

3 

32^ 

7 

250 

10  > 

>S 

14 

lO 

isl':; 

:il!7'5 

;_>,■",  :;s 

21  lot) 

:52;(3 

.80 

3 

750 

7 

50" 

U: 

25 

15  ( 

)(» 

IS  7:. 

2;2,5iO 

20;2  5 

31  b'o 

;38,75 

.81 

8 

^75 

7 

ro" 

IK 

;3 

15 

)() 

I9!;s 

28;2;5 

27  1  8 

8488 
80  010 

.82 

4 

30" 

8 

30" 

121 

)0 

]0j( 

)() 

20110 

;24  OjO 

;2soo 

;;2;Oo 

.88 

4 

12» 

8 

25" 

12: 

]S 

Klj. 

)0 

;>o'08 

;24;j5 

;2sss 

;;;;o'o 

371 

p 

.84 

4 

25" 

sl 

)0" 

12' 

-Ir- 

l'i< 

U) 

2l|25 

25. 

50 

;21t7!5 

;;4;0j0 

38;. 

\^ 

.85 

4 

S  ~,   ')" 

!::];; 

i'';- 

)() 

21  Ms 

20 

if 

25 

3o;( 

8 

35'op 

39: 

p 

.80 

4:>o 

i;;:,ii 

IM 

III 

22'- 

)() 

30 

sir 

0 

3600 

40.: 

h 

.37 

4 

h'-'' 

'. '  ■-'  •"> 

l:;^^ 

]s 

1') 

28' 

:5 

"5 

82> 

s 

3700 

4K 

3 

.88 

4 

7i5'' 

'.  1  :>  ( 1 

1 3  •.'  5 

vM 

)0 

o;;," 

5 

28' 

3  0 

38215 

3800 

42'; 

5 

.89 

4 

p 

'.  1  7  ■') ' 

Mt;;; 

ii)|. 

)0 

;24; 

)S 

29'; 

25 

84  V8 

;3900 

48> 

8 

.40 

5I 

13,0" 

1" 

IjU" 

15i< 

ll(» 

;2(ii( 

10 

251 

10 

80i( 

)0 

85;( 

10 1 

40  ()0 

4.5k 

b 

showing  value  of  articles  sold  by  the  TON— Hay ,  Coal.   17 


i  I 

1000^^ 

2000  ^ 1 3000 

4000 

5000 

600C 

7000 

8000 

9000 

100, 

200, 

300 

400 

500 

600 

700 

800 

900 

l( 

10  1 

20,1 

30 

40,1 

50  1 

60  1 

70 

80  1 

90  1 

8  .10 

25 

50 

8 

10 

13 

ii's 

IS 

2<i 

•J  3 

50 

1:00 

15 

2;o 

25 

3C 

35 

41) 

45 

^.25 

125 

250 

3'8 

50 

63 

\n 

>i8 

loo 

113 

£'.50 

2.50 

500 

7,5 

1,00 

125 

15C 

175 

200 

225 

3.00 

10,00 

20,00 

2250 

30,0 

400 

500 

60C 

700 

80,0 

900 

2.25 

1125 

33'8 

450 

563 

67.'] 

788 

90,0 

1013 

2..50 

1;250 

2500 

37,5 

500 

625 

75C 

8'7:5 

1000 

1125 

2.75 

137^ 

27:50 

413 

550 

688 

82.' 

963 

11  0,0 

1238 

3.00 

1500 

3000 

450 

6i00 

7,5:0 

90C 

1050 

120,0 

13.50 

3.25 

16!25 

3,250 

488 

6,50 

8'l3 

9,7.^ 

1138 

130.0 

1463 

3.50 

17,50 

3500 

525 

700 

8,7,5 

10  5  ( 

1225 

1400 

15  T  5 

3.75 

1875 

3750 

503 

7;5;o 

9,38 

112.- 

1313 

1500 

loss 

4.00 

2000 

4000 

600 

8,0,0 

10,0,0 

1201 

1400 

16  0:0 

1800 

4.25 

2125 

4250 

ens 

8.50 

1063 

12:7.^ 

14:88 

1700 

191  3 

4.50 

2250 

4,500 

675 

9,00 

11,25 

1350 

15  75 

18  0:0 

2025 

4.75 

2375 

4750 

713 

950 

1188 

1425 

1663 

19  0:0 

2138 

5.00 

2500 

5000 

750 

1000 

1250 

1500 

1750 

20(1 0 

2250 

5.25 

2625 

5250 

7S8 

10,50 

1313 

15  75 

1N3S 

2100 

236:5 

5.  .50 

27,50 

5500 

82,5 

11,0,0 

1375 

16  5  ( 

1925 

22  ( 1 0 

24  T  5 

5.75 

2875 

5;75o 

863 

1150 

1438 

172.1 

2013 

2300 

2.5  SS 

6.00 

3000 

6000 

900 

12,0,0 

1500 

180,0 

21,00 

;J40'0 

2T00 

6.;35 

3l'25 

62,50 

938 

12,50 

1503 

18,75 

2l'8'8 

2500 

281  3 

6.50 

3250 

65|Oo 

Vp 

13,0,0 

16,25 

195^ 

2275 

2600 

2925 

6.75 

3,375 

6  750 

I0'l3 

13:5'0 

1088 

202^ 

2363 

2700 

:3038 

7.00 

3.500 

7,0,00 

10.50 

1400 

IT  50 

2l!0l0 

2450 

280,0 

:3150 

7.25 

302^ 

7;250 

1088 

1450 

1813 

.J1T,5 

2538 

2900 

:3263 

7.50 

3:7:0' 

7500 

1125 

15:0:0 

18|T5 

22.5'0 

26,2,5 

:30,o:o 

33:7:5 

8.00 

4'00o 

8000 

1200 

16,00 

2000 

2400 

280,0 

3200 

360|0 

8.50 

4;2;5o 

8'5.0o 

1275 

17,00 

2125 

2550 

29:7,5 

:3400 

3825 

9.00 

45;00 

90,00 

1350 

18,00 

2250 

270'0 

31150 

3600 

4050 

9.  .50 

4|7;5o 

95,00 

1425 

19,0:0 

23  75 

2850 

3:3:25 

380,0 

4275 

10.00 

.5000 

10000 

loOO 

2oo;o 

25,0  0 

3000 

a50o 

4000 

4500 

10.  .50 

5250 

10500 

15,7,5 

2100 

2625 

315,0 

3675 

4200 

4725 

11.00 

.5'50o 

11000 

16,5,0 

2200 

2750 

3300 

:3850 

4400 

4950 

11.50 

5i75o 

ll|500 

17,2.5 

2300 

28,75 

?AoO    4025 

4600 

.5175 

12.00 

6,000 

12,000 

18|00 

2400 

30,00 

360,0 

4200 

4800 

.5400 

12.50 

6,250 

125^00 

18,7,5 

2500 

3125 

37.5,0 

4375 

500'0 

.5(;25 

13.00 

6500 

130:00 

loslo 

26,0,0 

3250 

3900 

4550 

520;0 

5850 

13.50 

67|50 

13500 

202,5 

27,0,0 

3:375 

40.50 

4725 

.5400 

6075 

14.00 

70:00 

72:50 
75'oo 

14|0'00 

2100 

280'0 

350'0 

4200 

4900 

.5600 

6:300 

14.  .50 

14j5;oo 

2l|75 

2000 

3025 

4:^.50 

.5075 

.5800 

a525 

1.5.00 

150:00 

2250 

soo'o 

37'50 

45()'0 

.5250 

6000 

6750 

16.00 

8000 

160,00 

2400 

32,00 

4000 

4800 

5600 

(>400 

7200 

17.00 

85;oo 

17000 

2550 

3400 

4250 

51  00 

5950 

6SO0 

7650 

18.00 

90,00 

i8o;oo 

27,00 

3600 

4500 

.5400 

6:300 

7200 

8100 

19.00 

9o;0o 

i90;oo 

2850 

3800 

4750 

5700 

6650 

7600 

8550 

20.00 

10,000 

20000 

3O'00 

4000 

.5000 

(5000 

7000 

8000 

9000 

21.00 

10.500 

2l'0'00 

3150 

4200 

5250 

twoo 

7:350 

S400 

W50 

22.00 

11000 

22O00 

3300 

4400 

.5500 

6600 

7700 

8800 

W(»0 

2;i00 

11.500 

23000 

3150 

4600 

5750 

6900 

.8050 

9200 

10350 

ai.oo 

12000 

24000 

3600 

4800 

a>oo 

7200 

S400 

t)600 

10800 

25.00 

12.500 

2.5000 

37.50 

5000 

6250 

7500 

ST  50 

UM)00 

11250 

26.00 

13. 

0.00 

26 

0.00 1 

3900 

52 

JOl 

6500 

7800 

9100 

IWOO 

11700 

18  Table  showing  Value  of  articles  sold  by  the  1000;  Lumber,  &c. 


1000 

100, 

10 

50 

200« 

250« 
275" 
800'^ 
825'^ 
350<^ 
3750 
400'^ 
•4  2  50 
4500 
4750 

5o;oo 

550" 

650" 
70'00 
7o0'J 
8000 
8500 

9o;o" 

9o0" 
1000" 
1100" 
1200" 
13000 
14000 
1500" 
160  0" 
17,00" 
18,0,00 
19,000 
2000" 
21,0  0" 
2200" 
2::300" 
2400" 
2500" 
2000" 
2700" 
2800" 
291)00 
3000 
ol  00" 
:;200' 
00  00' 
8400* 
3500" 
36000 


2000 
200 
20  , 

iio<^ 

200 

5,00 

10:00 

4000 

45,00 

5000 

5500 

6000 

65'00 

7000 

T5'00 

8000 

85,00 

9'0;Oo 

9500 

lO'OOo 

110,00 

12,000 

13,000 

14000 

15000 

16000 

1700" 

ISOO" 

190  0" 

2000" 

220!oo 

240:00 

26'opo 

28000 

30OUO 

320;oo 

340,00 

36,0po 

;580po 

40000 
420  00 
44000 
40000 
4S00" 
500  00 
5200'^' 
54  0  0" 
500  0" 
5so'o" 

(•)000" 
(WOO 
(■>4(iO 
Of)  0  0 

<;s()o 
7000 
72000 


3000 
300 
30  i 

15 
80 
75 

150 
600 
(J. 
7,5  0| 
825 
900 
9I75 
1050 
11 

12001 
127 
1850| 
14,25 
1500 
105  0 
1800 
195  0 
2lio( 
2250 
240  0 
25  5  ( 
2700 

28 : 
30P  ( > 
3o'o( 
30'o( 
39,0  0 
42  0  0 
4500 
480  0 
51 '00 
5400 
57< 
6000 
63  0( 

6(;o( 

6901 
7201 
75  0  0 
7S00 
81  <M) 
8400 
8700 
tKliiO 

9; ;  1 1 1 
<m;oo 
9900 

102( 

10500 

108'00' 


4000 

400 

40 

2,0 

40 

100 

200 

800 

900 

1000 

110,0 


120,0|   1500  1800  21001 

1625  1950  22 

1750  2100  24r)0| 

1875  2250  2( 

2000  2400  280,0 

2125  2550  297,5 

2250  27001  8151) 
23 


1300 
1400 
150  0 
1600 
1700 

IsOO 

1900 
20  0  0 
220  0 
24  0 
260  0 
2800 
3000 
3200 
3400 
3600 
38  ( 
4000 
4400 
4S00 
520  0 
56  no 
6001 
(UOi 
6S0( 
72  ( •  ( 
70  0( 
N 1 0 1 
!>4  0  ( 
8S00 
92  o( 
•h;oo 
10000 

10-100 

lo,soo 

11200 
11600 
12000 
12400 
12N0(I 
13200 
13000 
14000 
14400 


5000 
500 
50  I 

251 

Islo 

125 
250 

1000 

11 

12501 

13 


2850    332. 
50  CI  30OO    35  0( 


27. )0 

3(  10  0 

;j2  5  0 
35  0  0 
3750 
40  00 
4250 
4500 
47  ."30 
5000 
.5500 
600  0 
(wO'O 
70  0( 
7501 
8000 
8.")0( 
IM 1 0  ( 
9501 
10001 
10500 

iio'o'o 

11500 
1 2(  10  0 
12.^ 
1  :jo  0  ( » 

135  0( 
14001 
14500 
i5lMMt 

1.55  00 

10000 
16500 
17000 
17500 
1.80  OOl 


6000 

600 

60 

3:01 

6,0 

50 

8100 


1200    1400 


1350J 
1500 


1650    192." 


3300 
3600 
390  0 
420  0 
4500 
4S00 
5100 
54  00 
5701 
60001 
6601 
72|10 
7800 
8400 
9001 
9<;oo 
10200 

losoo 

11401 

12000 

12601 

13201 

13S00 

14401 

1.5000 

1.56  0  0 

16201 

KMK 

17401 

1  SO  1 )  0 

ISO  0  0 

19200 

19S00 

20400 

21001 


7000 
700 

70  I 
351 

17io 
350 


38.)  0 

4200 

4550 

4900 

.5250 

5600 

.5951 

630,1^ 

66  5  i 

7001 

7701 

8401 

91  01 

980  0 

10501 

11200 

11001 

120  0  0 

133  01 

14001 

1470  0 

1.5400 

10100 

losoo 

17500 
1  S-i  111) 

isooo 
r.H;iii 
2o:;iii 

JlOOl 

21701 
224  01 
2:11  00 
23s  00 
245  0  0 


21600«;2.5200'2; 


8000 
800 

80  I 

80 
200 

400 
1600 

1800 

20  01- 

220  c 

2401 

2(H>1 

2801- 

30  00 

320,0 

3400 

3600 

3800 

4001 

44 IM 

4801 

.5201 

.5601 

6001 

6401 

6801 

72001 

7601 

SiiOO 

SS 1 1 

•h;oo 

10400 
112(>0 
12001 

12s  0  0 
13001 
1441M 
1.520( 
10000 

it;soi 

17601 

1S40( 

19200 

200  00 

20s  Ijl 

216  01 

2240  0 

2320 

24000 

24801 

2.5600 

2r>400 

272  0 1 

2SO0I 

:8800 


9000 

900, 

90, 

45 
|9!0 
225 
450 
1800 
2025 
2250 
247'5 
2700 
29'2'5 
815,0 
887,5 
8600 
8825 
40'50 
4275 
4500 
49.50 
5400 
5850 

68;op 

67:50 
72,00 

7650 

8100 

8.550 

9000 

9900 

10800 

11700 

126,00 

13500 

1440,0 

1.5800 

1620'0 

171010 

i8o;op 

189,00 

)80p 


20700 
216,00 
2250,0 
23400 
2430.0 
2.520:0 
261  |0p 
270,00 
279,00 
288,00 
297,00 

306;op 
;i.5'op 

3240l0 


Table  showing  value  of  articles  sold  by  the  100— Cattle,  Hogs.  19 


1000 

100 

10, 

]0 

1,0 
1,5 
2( 


3,0 
4000 

5000 

Tr 
slop 

9^00' 
10000 
l2o'0 
1.^0,00 
IT's'oo 
20'000 
22'500 
25'000 
27500 
30;0'00 
32!5:Oo 
35000 
3T;50o 
40,0,00 
42:500 
45|00o 
47;5;Oo 

5000 
5250 
5.50I00 
5T500 

60'o!oo 

625:00 
&500'' 
6750" 
7000" 
7250" 
75(M)' 
7750" 
800  0" 
8250" 
8.500" 
8750" 
WOO" 
9250' 
9.500" 
9750" 
10000" 
)250' 

..50|105(>O' 
i  10750" 

00610000 


5  10-^ 


2000 
200 

20  I 

100 

20:0'^ 

3,0(0 
40,0^ 

5,0j0'^ 

600 

SOJOo 

100:0" 

12i0!00 

14:0:00 

1600" 

1800" 
2000" 
2.50;0" 
300(0" 

ao'oo" 

40  (JO" 
45(10" 
50,0,0" 
5.5!0O" 

600(V' 

a5uo 

70!(M)' 

75'0'n" 

800 1)" 

8.5,0,0  0 

90:000 

95000 
lOO'o'Oo 
105'0;00 
llO'OOo 
115000 
120000, 
125000 
130,0,00' 
1350:00 
1400  0" 
145.  MJ' 
15(100' 

10  0' 


30001 
300 

I'so 

300 
4!5 

60C 
75 

9,00 
1200 
1500 
18  0( 
21 0(. 
24  0( 
2700 
30()( 
375<: 
45  0( 
.52  5  ( 
60  0( 
67  5  ( 
7500 
8250 
no 


)0 


)0 


ItK 

lO.MiO" 
ITooo" 
1750,0" 
IsooO' 
1^50  0" 
r.>)O0'' 
105  00" 

ijooriO" 

■J05  0  0" 
•210  0  0" 
21500' 
22010100 


1425 

1.500  ( 
157'5( 
165,0  ( 
17250 

isoloo 

187,50 
19500 
20250 

21001 
2175(: 
2-J50( 


4000 

400 

401 

20 
400 
600 
800 

100 
12:0 

lo'o 

2*  0 )  ( 

24  OC 

280(_ 

32  o( 

o(_;o( 

40  OC 

.50  OC 

60:0  ( 

7000 

So  00 

WOO 

KWOO 

110,0  oil 

1200 

13000 

14000|l 

1.5(V0( 

160,00 

170,00 

0 

0119000 

20000 

21000 

22000 

23000 

34000 

3.5000 

36000 


10500 
11250 
1200(1 
12750 
135|00I180:0 


■J4tJ  ( 1  ( 

24750 

2.5500 

26250 

27000 

27750 

•JSLtOO 

20-350 

:;( to  0  ( 

:;o75( 

:1150 

o225 


>0  1 


28000 
2900 
30000 
31000  38 
3:2000 
33001 
;>4000 
3.5000 
36000 
37000 
38000 
39000 
4(X)00 
41000 
2000 
1143000 


0  4--: 


5000  6000 


500 
60 

50 
500 


750      900 
OCIC    1200 


100  c 
1251 


1.500    18  0( 


20  0< 

2.50  ( 

3(1 1.1  ( 

35  0( 

4(1 0( 

45  0( 

.50  0  ( 

62  5  ( 

75  0( 

87  5  ( 

1(.H)0( 

1125( 

1250( 

37  5  (^ 

50  OC 

1625C 

50  C 

1875C 

2000  c 

12  5  C 

225  OC 

2375  C 

2500  c 

2625C 

2750C 

28750 


325  OC 

2700Ci3375C 

500  c 


1136250 
50  ( 
5( 
400  0( 
412  5  ( 
425  0( 
437  5  C 
4.50  0( 
462  5  C 
475  0( 
487  50 
.50001 
.5125(1 


600 
60 

3'0( 
6001 


0(1 
15  0( 


24  0C1 

3(  I  ( t  ( 

36  0( 

4-3  0( 

4soC 

.54  {)  C 

60  0( 

75  OC 

*.K  1 0  ( 

1C'50C 

1200c 

1350C 

1.50  OC 

1650C 

1800C 

1950( 

210'0C 

2250C 

2400C 

2.55  0( 

2700  ( 

2850  C 

3000( 

315  OC 

330  OC 

34501 

o 0000  860 0( 

31250  3750C 


330001 44000«  55000"  660001 


3  woe 
405  OC 
420  OC 
435  OC 
4.0OOC 
4050( 

4,NI0( 

495  0( 
5100C 
525  OC 
54(  i  (.1  ( 
555  0( 
570  0( 
585  0  ( 
6CK)0i 
615  0( 


70001 
700 
70  i 

350 

7,00 

10,50 


!10( 
28  0( 
35  0( 
42  0( 
49  0( 


8000  9000 
800     900 
80       90  I 

400      450 
800     900 
1200    1350 
14001  1600    ISO'O 
1750|  2000    22.5'0 
2400    2700 
3200    360^0 
4000    4500 
4800    .>1(>0 
5600    6;:>00 
.5(300    WOO    720I0 


63,0  C 

7o;oo 

875(. 
1050C 
12250 


192,50 
2100c 
227  5  C 
245  0( 
26251 
280  OC 
2fJ75( 
315  OC 
33251 
3.500  ( 
367,5  C 
385  OC 
402  5  ( 
420  OC 
437,5  c 
4.5.5,0  c 
472,5  C 
490  0( 
507  5  C 
525  01 
.542  5  ( 
5t;(M_)( 
577  5c 
5950  c 
612,51 
6:;0CM 
f>475c 
to(M 


.52500  6;B00( 
.5:5750  645  0( 


7200  8100 
8000  900,0 
10000  11250 
12000  i:>500 
14000  1.57.50 
140  00]  1*30  00  18000 
157,50  18000  202.50 
1 75,0  0|  200  00  22500 
22000  247.50 
24000  270  O'O 
2cK)00  21t250 
28000  31500 
30000:337.50 
:320  00  36000 
:>4000  :5825:0 
:-](X»  00  40500 
:38000  427.5'0 
40000  4.5000 
42000  47250 
44000  49500 
46000.51750 
48000.54000 
.50000  56250 
.52000.58.500 
.54000(30750 
.-1(3000  6::>0  00 
.5S00  0*6,52  50 
00000  67500 
62000  69750 
400072000 
00000  74250 
68000  76.500 
000078750 
•3<' 00  81000 
4ooo8:;250 
t;ooo  .Si5CtO 
^0(»o  877  50 
soooo  •HRIOO 
3(tO0  9','250 
S40  00  94500 


,(HMM 

7175C 

7:;5  0(    -r,....., 

7.5:j5(   n;000  W7oO 

77010  Ol  880:001990010 


20 


Table  showing  the  INTEREST  at  6  per  ct.  from  $1.  to  $2000 


:&< 

$1 

500 

$200" 

$300 

$400 

$500 

$6 

00  $70C 

)  $800 

$9 

00 

H 

lOj 

201 

30: 

40! 

50 

6 

0       70 

80 

90 

li 

1 

2 

3 

4 

5 

6 

7 

8 

9 

^  1 

l^ 

33 

"' 

7 

8 

10       L' 

I 

13 

15 

^i 

33 

50 

100 

i!o 

1;5 

U 

17 

2,5 

20        2;; 
30        '6.1 

) 

27 

40 

3|0 
4J5 

4 

6^ 

1I33 

2,0 

27 

33 

40        4' 

" 

5h 

60 

5 

83 

16^ 

25 

f 

42 

50        5', 

-; 

67 

75 

6 

100 

200 

30 

50 

6;0        7,( 

) 

8,( 

90 

7 

IV 

3,5 

47 

5,8 

70        8, 

2 

9': 

105 

8 

133 

20^ 

40 

53 

67 

80        9 

3     1|0!7 

1|20 
135 

9 

150 

300 

4^5 

60 

'^i'^ 

9,0     1,0. 

>     120 

10 

16^ 

333 

5,0 

6!7 

83 

1 

0,0       11; 

"  iN'^ 

1150 

11 

183 

36^ 

55 

7;3 

9:2 

1 

10     12 

^     147 

165 

12 

300 

i\V 

400 

60 

8:0 

IjOO 

1 

20     14'( 

)     160 
3     1173 

1 

80 

13 

433 

6'5 

8,7 

1I08 

1 

,30     1.5; 

1 

95 

14 

333 

46^ 

7:0 

9:3 

1 

17 

1 

40     1 0,; 

i     187 

0 

1.0 

15 

250 

500 

7|5 

1 

00 

1 

2-5 

1 

50     17|. 

i     20:0 

2:25 

16 

36^ 

533 

8,0 

1 

07 

1 

33 

1 

60     18; 

-     213 

240 

17 

383 

56^ 

85 

1 

13 

1 

4;2 

1 

70     19J 

^     22,7 

255 

18 

3'00 

600 

90 

1 

20 

1 

50 

1 

80     21  ( 

)     240 

27(» 

>  19 

5|l' 

6,33 

95 

1 

27 

1 

58 

1 

90     22b 

I     2,'5'3 

285 

20 

333 

607 

I'OO 

1 

33 

i|6;7 

0 

00       23:^ 

}     26,7 

300 

21 

550 

$ 

i;o5 

1 

40 

175 

2 

10     24f 

)     280 

3;i|5 

22 

36^ 

no 

1 

47 

1183 

2 

20     25^ 

'     2:93 

330 

23 

383 

76^ 

115 

1 

53 

1:9,2 

2 

30     26^ 

i  3;o:7 

3'4'5 

24 

ibo 

800 

120 

1 

6;0 

20'0 

2 

4:0     28!( 

)     320 

:360 

25 

i\y 

833 

125 

1 

67 

20|8 

2 

50     219^ 

J     3313 

;375 

26 

433 

867 

130 

1 

7'3 

2117 

2 

60     3,0;;^ 

34)7 
3'6|() 

390 

27 

450 

400 

135 

1,80 

Mi 

2 

70     31.^ 

4!o:5 

28 

46^ 

933 

140 

l'87 

0 

80     3i2|7 

3173 

420 

29 

483 

d67 

145 

1 ,03 

242 

0 

90     33:b 

3:817 

435 

33 

550 

1 

Lpo 

165 

2:20 

275 

',] 

30     3,8.^ 

4'4|0 

49;5 

63 

1 

OSo 

2 

[00 

3;i5 

420 

525 

6 

30     73'r 

84'0 

94*5 

93 

15i50 

3 

100 

405 

()20 

77;5 

9, 

3|0   108: 

124:0 

13I95 

?    I 

j5|0'' 

iWoo 

1 

OjOo 

1:5,0 

rijoo 

2|5jO 

010      35(. 

4:0,0 

4|5:o 

2     o 

2 

000 

:-;()() 

4,00 

5'0l0 

00     7,0  C 

8:00 

oo'o 

f    3 

1500 

3 

000 

450 

000 

75^0 

00    10 5 C 

120(1 

i;i5o 

4 

OQJOO 

4 

000 

0(»o 

soo 

lo'oo 

12 

00    HOC 

1()0() 

IS  0,0 

«    5 

2.500 

5 

000 

7,5|0 

1000 

1250 

15 

00    17 5 ( 

2000 

22,5,0 

6 

3000 

6 

000 

900 

l:.'oo 

150  0 

18 

00    21  0( 

240  0 

27!00 

7 

3!500 

7 

000 

10(5,0 

14,00 

175;0 

21 

0,0    245(_ 

280() 

31|50 

8 

4i00o 

8 

000 

1200 

1000 

2000 

24 

0,0    2800 

3200 

.360,0 

9 

4'500 

90100 

13;50 

IS  00 

2250 

27 

)0    31 5  ( 

3600 

405,0 

10 

5000 

loo'o" 

1500 

20  0  0 

250  0 

30 

)0    35  0( 

4000 

450j0 

11 

5500 

1100" 

i(;50 

2200 

2750 

'.):] 

)0    3S5( 

4400 

495;0 

^    1 

0,010" 

l-OjO" 

1800 

24 

0,0 

oOOO 

M)    42|in 

4S00 

.-4!0|0 

12000 

24  (00 

36o:o 

48 

o;o 

600|0 

72 

10    ,S4'(l'( 

9000 

10800 

'    3 

1S,000 

y(;olO" 

5400 

72 

00 

9000 

los 

10  12(lii'( 

14400 

16200 

4 

240,0" 

4S00" 

7200 

9(')00 

12000 

144 

)0  i(;soo 

10200 

2160|0 

5 

oOOU" 

0(100" 

WOO 

12000 

15000 

ISO 

10  21000 

24(M)0 

27000 

?    ;^ 

123,0" 

24:72" 

;>7()s 

4944 

61  KO 

74 

0    S«;52 

<  »s  s  s 

1111214 
17191 

1    ^ 

191|02 

38:2,0^^ 

5730 

7041 

95  51 

114> 

il  i:;:i71 

152,S1 

^    4 

20248 

52'49'^ 

7S74 

10499 

131124 

157- 

19  is:; 7;; 

20008 

23623 

S"    5 

33:823 

«7:ol4^ 

101417 

135i29 

16911 

302' 

t,4  230,7:6 

270;5'8 

304  4|0 

f^    6 

411 

8152 

8:3 

704 

125 

5j6 

167 

4111 

209 

3;6i 

351 

lf392!96 

;334;8;2 

376l6 

17 

Cable  showing  the  INTEREST  at  7  per  ct.  from  $1.  to  $2000  21 

"c-i 

$100 

$2000 1 

$300 

$400 

$500 

$600 

$700 

$800 

$900 

M 

10 

20 

30 

40 

50 

60 

70 

80 

90 

ll 

1 

2 

1 

3 

4 

1 

5 

1 

6 

1 

7|  j 

8 

1 

9 

J  1 

1" 

39 

6 

8 

10 

1,3 

14 

16 

18 

39 

78 

12 

1^ 

19 

23 

27 

31 

3.5 

3 

|58 

l'l7 

18 

23 

29 

13:5 

41 

47 

.5!3 

4 

i7« 

l;5« 

23 

31 

3,9 

|47 

,54 

62 

70 

5 

19* 

2,9 

39 

49 

5,8 

6,8 

78 

88 

6 

i;i^ 

233 

3,5 

47 

58 

7;o 

82 

93 

1 

05 

7 

13« 

072 

41 

5,4 

68 

82 

95 

l!09 

1 

23 

8 

i;5« 

3P 

k^ 

62 

7:8 

93 

109 

124 

1 

40 

9 

175 

350 

|53 

7,0 

88 

I'Oo 

i;2;3 

140 

1,58 

10 

19* 

3'89 

;58 

78 

97 

IjlT 

l'3,6 

15,6 

175 

11 

21* 

428 

6'4 

86 

1^07 

li28 

150 

1171 

193 

12 

233 

467 

70 

93 

117 

i;40 

16:3 

fl 

2|lO 

13 

253 

506 

76 

I'oi 

12,6 

1,52 

1,77 

228 

14 

272 

54* 

82 

109 

13,6 

l|63 

191 

21 '8 

1*5 

15 

292 

5,83 

88 

117 

146 

1 

75 

204 

2313 

2'63 

1<» 

31» 

622 

93 

124 

156 

1 

8,7 

218 

24:9 

280 

17 

331 

66^ 

99 

132 

16'5 

1 

98 

23,1 

264 

2'98 

18 

350 

700 

105 

1,40 

175 

2 

10 

2'45 

2:8,0 

3,15 

19 

3:69 

7:39 

111 

1,48 

185 

222 

259 

296 

33,3 

20 

389 

7;78 

ll7 

15,6 

1 94 

23,3 

2,7,2 

3lll 

350 

21 

408 

81' 

123 

1,63 

20'4 

245 

286 

32i7 

3168 

22 

423 

85« 

128 

1|71 

214 

2|57 

219:9 

342 

385 

23 

447 

89* 

1.34 

179 

224 

2,68 

31^3 

3:5:8 

403 

24 

46' 

93^ 

140 

18'7 

2'33 

280 

327 

3)7:3 

420 

25 

4  8« 

972 

1*46 

li94 

243 

292 

3:40 

3,8,9 

438 

26 

50« 

1 

OP 

152 

2,o;2 

25,3 

3:03 

354 

404 

455 

27 

525 

1050 

158 

21'0 

26,3 

315 

368 

420 

4;7|3 

28 

54* 

108« 

1:03 

21:8 

o'^o 

32,7 

381 

436 

4^0 

29 

56* 

l!l2« 

1,69 

2,26 

2'8'2 

33,8 

395 

451 

508 

33 

642 

11283 

l'93 

2,5,7 

3;2;i 

385 

4'49 

513 

57:8 

63 

1 

005 

2450 

3,68 

4'90 

613 

735 

858 

980 

1103 

93 

1808 

i^v 

5'43 

7.2,3 

9,0,4 

1085 

1266 

1447 

1628 

2    1 

;58^ 

1;16' 

1;75 

233 

292 

350 

4(i.s 

467 

.525 

£     2 

116^ 

2333 

350 

46  7 

583 

7,00 

817 

933 

1050 

%.    3 

1  75'> 

3;5;oo 

5125 

7:00 

875 

10,5,0 

1225 

140:0 

15,7,5 

4 

2333 

4;6,67 

7,00 

933 

116,7 

14|00 

1633 

1867 

21,00 

5 

2917 

5833 

8,75 

1167 

1458 

17,50 

2042 

2333 

2625 

6 

3500 

7i0,0o 

1050 

14,00 

1750 

2100 

2450 

280,0 

31,50 

7 

4083 

8167 

1225 

10,33 

2042 

2450 

2858 

3267 

.3675 

8 

466^ 

9333 

1400 

1867 

2333 

2800 

3267 

3733 

4200 

9 

5250 

10500 

1575 

2100 

2625 

3150 

3675 

4200 

4725 

10 

5833 

11667 

1750 

2333 

2917 

3500 

4083 

4667 

525,0 

11 

6417 

12833 

1925 

2567 

3208 

38  50 

44  9 -J 

513;-; 

5775 

■^.-    I 

7;U|0'> 

14  UU" 

2100 

28  OU 

3500 

420  0 

49  (Ht 

5000 

(•).3M0 

i  2 

14000 

28000 

4200 

5600 

7000 

8400 

9800 

11200 

126^00 

^    3 

21000 

4200" 

6300 

8400 

10500 

12000 

14700 

ItiSoo 

ISO  00 

\     4 

28000 

56^000 

8400 

11200 

14000 

16'^  00 

l*:H>rio 

224  00 

25200 

^     5 

3500" 

70000 

105(V0 

1400(1 

17500 

210  (!]0 

24500 

280 1 H » 

31500 

r.    2 

1449'' 

"^m^"' 

434  7 

5796 

7245 

8694 

10143 

115  92 

13041 

i    3 

2250* 

45009 

67'51 

9002 

11252 

13503 

15753 

lSOo;j 

20254 

i   4 

3i:0'S'^ 

62159 

9324 

12432 

15540 

18648 

21756 

24-^04 

2797'2 

?l 

4( 
5( 

i- 

8( 
10( 

)510 
),1^« 

12c 
15C 

7i7 
•2I2 

161 
200 

201 
250 

28 

3i7 

241 

?00 

1 

281179 
35Ci5ll 

322i0,4 
4001518 

iift 

22  Table  showing  the  INTEREST  at  8  per  ct.  from  $1.  to 

$20 

DO 

■& 

$100  I 

$200  1 

$300 

$400 

$500 

$600 

$7001 

$800 

$900 

'ii 

10    1 

20 

301 

401 

50 

60 

70 

80 

90! 

•c 

1 

2 

3 

4 

5 

1 

e  1 

7 

1 

8 

1 

•9  1 

oa 

4* 

9 

ill 

13 

I'o 

18 

20 

•§    2 

4* 

89 

13 

18 

22 

•'7 

3'1 

36 

10 

3 

67 

1 

33 

20 

2i7 

33 

i'o 

47 

5'3 

50 

4 

89 

78 

07 

36 

44 

53 

62 

''|1 

30 

5 

IV 

002 

33 

•i^ 

56 

6,7 

7;8 

89 

1 

[)0 

6 

133 

267 

40 

53 

6,7 

80 

93 

1 

07 

1 

20 

7 

156 

311 

47 

6,2 

7,8 

93 

i;o;9 

1 

24 

1 

I'O 

8 

178 

359 

53 

71 

89 

l!0,7 

l|24 

1^:2 

1  (;o 

9 

20'> 

400 

60 

8'0 

io;o 

r2,o 

1:40 

1 

60 

ISO 

10 

2'22 
24* 

414* 

67 

8,9 

1 

11 

5:? 

1,5,6 

1 

7|8 

200 

11 

pl'89 

73 

98 

1 

22 

171 

1 

96 

220 

12 

267 

S'33 

80 

1 

07 

1 

33 

i6;o 

187 

2 

13 

2'40 

13 

2|8» 

5|78 

87 

1 

16 

1 

414 

173 

202 

2j31 

260 

14 

311 

622 

93 

Is2i4 

i:5;6 

187 

218 

24J9 

2'80 

15 

333 

667 

100 

133 

167 

20,0 

233 

267 

3'00 

16 

3,5« 

711 

107 

142 

178 

213 

2'4'9 

2,8'4 

32  0 

17 

378 

756 

113 

151 

189 

227 

264 

302 

340 

18 

40" 

800 

12:0 

160 

20:0 

240 

280 

320 

3(;o 

19 

4122 

84* 

127 

1'69 

21*1 

25,3 

2'9!6 

3'38 

380 

30 

44* 

889 

133 

1,7:8 

oloo 

2;6,7 

311 

3,56 

400 

21 

4'67 

933 

ll40 

i;8,7 

2|33 

280 

3127 

373 

42.0 

22 

4'89 

978 

147 

196 

24'4 

2'9,3 

342 

391 

440 

23 

511 

1 

022 

153 

20:4 

256 

307 

35,8 

409 

427 

4!60 

24 

533 

1 

067 

160 

21 '3 

2|6'7 

320 

37,3 

4'8'0 

25 

5.56 

1 

HI 

167 

oloo 

27;8 

3;33 

3,89 

444 

500 

26 

578 

1 

156 

173 

2&1 

289 

347 

404 

462 

5:20 

27 

6'00 

i[2:oo 

180 

24'0 

300 

360 

4'20 

4'8I» 

5 

1,0 

28 

622 

124* 

187 

2'49 

31'1 

3i73 

43|6 

4:9'8 

5 

50 

29 

64* 

1289 

193 

2'58 

322 

387 

45,1 

51|6 

5 

^0 

33 

733 

1467 

220 

293 

367 

440 

51|3 

5,8,7 

6 

JO 

63 

1'40" 

2800 

420 

560 

700 

840 

980 

ll!2,0 

12 

50 

93 

206^ 

4!ll33 

6 -JO 

S  '3  7 

103:! 

1240 

1447 

1653 

1860 

rr 

06^ 

l|3i3S 
2667 

20  0 

2  6  7 

400 

467 

"5p 

6  0:0 

§    2 

1333 

400 

53  3 

66  7 

800 

933 

1067 

]20!0 

^    3 

200*^ 

4000 

600 

8()  0 

1000 

1200 

14(tO 

16  (to 

18( 

)0 

4 

2667 

5333 

800 

1067 

1333 

it;(»o 

18(;7 

2133 

24  ( 

f 

5 

3333 

6667 

1000 

l33  3 

16(;7 

20  (to 

2333 

266  7 

30  ( 

V 

6 

4000 

8000 

1200 

1000 

20  00 

24  0  0 

2800 

32U.0 

36  ( 

7 

406^ 

9333 

1400 

1st;  7 

2;]  3  3 

2S(tO 

3267 

:]733 

42;( 

)0 

8 

5333 

106,67 

16,00 

2133 

2667 

3200 

;-;7;;;; 

42 1;  7 

48,( 

)0 

9 

6000 

i2o;oo 

1800 

2400 

3000 

3600 

4200 

4S0  0 

54010 
6000 

66;o!o 

10 

6667 

13333 

2000 

26(;7 

3333 

4000 

4(;t;7 

5:):):) 

11 

7333 

14667 

2200 

29:;:] 

36  0  7 

44(tO 

513  3 

5Si;7 

^    1 

SiUlOo 
lOOpo 
2400" 

10(110^ 

240  0 

;:i:joo 

40  0  0 

4800 

5t;oo 

('40  0 

I44K0 

^1 

32000 

480  0 

('4  0  0 

S(  >  0  0 

9<;(to 

11200 

128  (to 

480;oo 

720  0 

(M'.OO 

12oo(. 

144(tO 

i(;s'(to 

19200 

21  (.00 

4 

3-2o'oo 

(U'ooo 

tXjoO 

l:2soo 

1C)0  0  0 

1 92  00 

22400 

25(;  ( 1 0 

2.SS,0'0 

5 

40(10" 

so  00' 

irjooo 

icooo 

'.*(  to  1)  0 

•.'4(  too 

;2S( )  i  1 0 

:;'2oo(t 

:](»!o;o 

?    ~ 

itit;4" 

;-;:;  ■.'  s'' 

4Wi 

(;(;5(; 

,s;;'jo 

'.)'.is4 

ii(;4s 

i:;3T2 

1497,6 

1    3 

259:71 

51942 

7701 

lo:!ss 

120  St; 

155s;; 

ISlMt 

•20777 

"233,'' 

4 

I    4 

36049 

7209^ 

lOS  1  5 

144 -JO 

istf.'4 

216:.'0 

~2.V::;4 

•2Ss:]l) 

:;24^ 
4224 
52e|l 

4 

?    5 

46:933 

93866 

140,8,0 

1877,3 

2:^,66 

2816,0 

:;2s,53 

3754  6 

0 

^    6 

5i 

i( 

5,87 

ir 

-.3176 

17C 

Pl6 

234 

i7i5 

^ 

4[4 

352 

1|2| 

410i8il 

M 

v> 

9 

Table  showing  the  INTEREST  at  10 

)erct.- 

-$ 

l.t 
00 

0  $2000.  23 

'c 

$100 

$200^ 

$300 

$400 

$500 

$600 

$7 

$800 

$900 

'  i  J 

10 

20, 

30 

40 

50 

60 

70 

80 

90 

■| 

1   i 

2  1 

3 

1 

4 

1 

5 

1 

6 

1 

7|| 

8|i 

9   1 

^  1 

2« 

5" 

8 

11 

l'4 

1 

':7 

19 

22 

25 

•i  2 

P' 

I'll 

17 

22 

28 

-3 

3 

39 

r^-* 

5'0 

•     3 

,83 

1,6- 

25 

33 

4,2 

5 

0 

58 

67 

rs 

4 

IV 

222 

33 

44 

56 

7 

78 

89 

100 

5 

139 

27« 

42 

56 

69 

3 

!97 

111 

125 

6 

16^ 

333 

50 

67 

83 

ioo 

117 

133 

k 

7 

19* 

389 

5'8 

7^8 

97 

11 

7 

136 

156 

8 

9:02 

44* 

67 

89 

111 

lb 

3 

156 

178 

200 

9 

2:50 

500 

75 

1 

00 

125 

15 

0 

175 

200 

2:25 

10 

2I78 

556 

8*3 

1 

lil 

1,39 

l(j 

7 

194 

o->o 

250 

11 

3106 

611 

92 

1 

22 

1,53 

1!= 

3 

214 

2|44 

275 

12 

333 

66' 

1 

00 

1 

i 

167 

200 

233 

267 

3oO 

13 

361 

7'22 

1 

08 

1 

l'81 

21 

T 

253 

2189 

3;25 

14 

389 

77« 

1 

17 

1 

56 

194 

'^;- 

3 

272 

311 

350 

15 

4P 

8:33 

1 

25 

1 

67 

208 

o_; 

0 

292 

333 

3:75 

16 

444 

889 

1 

00 

1 

78 

000 

2e 

7 

311 

356 

400 

17 

472 

:o4* 

1 

42 

1 

SO 

236 

283 

331 

378 

425 

18 

500 

1 0,0  ■■ 

1 

50 

2 

00 

2,50 

300 

350 

400 

450 

19 

528 

1056 

1 

58 

2 

11 

264 

317 

369 

422 

4,75 

20 

506 

1111 

1 

67 

2 

00 

2:7,8 

333 

389 

444 

5:0:0 

21 

583 

116- 

1 

75 

v) 

33 

2|92 

350 

408 

4,67 

525 

22 

611 

1222 

1 

83 

2 

44 

3,06 

36,7 

428 

489 

550 

23 

639 

l'278 

1 

92 

0 

56 

319 

3,8,3 

447 

511 

575 

24 

66" 

1333 

0 

00 

2 

67 

333 

400 

4'67 

5  3  3 

64  >0 

25 

69* 

1389 

0 

08 

0 

78 

347 

41,7 

486 

556 

ir26 

26 

722 

144* 

2 

17 

2 

89 

361 

433 

506 

578 

6,50 

27 

7.50 

1500 

2 

25 

3 

00 

3,7,5 

450 

525 

600 

6,75 

28 

778 

155<= 

2 

33 

3 

11 

389 

4617 

544 

622 

700 

29 

806 

1611 

2 

42 

3 

22 

403 

483 

564 

644 

725 

33 

91- 

1833 

275 

3 

67 

458 

550 

642 

733 

825 

63 

1750 

£500 

525 

7 

00 

875 

1050 

1225 

1400 

1575 

93 

258'^ 

516' 

775 

1033 

1292 

1550 

1808 

20,67 

^ 

25 
50 

1    1 

8o^ 

I06' 

250 

333 

417 

500 

583 

667 

7 

i   2 

1G67 

3333 

500 

667 

833 

1000 

116  7 

1333 

1500 

i'  3 

2500 

5;ooo 

7,50 

1000 

1250 

1500 

1750 

200  0 

2250 

4 

3333 

6,6,6^ 

100,0 

1333 

160  7 

2000 

2333 

2667 

13000 

5 

416^ 

8333 

i2;5;o 

1667 

20  83 

2500 

2917 

33  3  3 

3750 

6 

5000 

10000 

150,0 

20:00 

2500 

30  0  0 

;!5(i0 

4000 

4500 

7 

5833 

ll'667 

175,0 

2333 

2917 

3500 

40  s:] 

4607 

5250 

8 

606' 

13333 

20,0,0 

266  7 

;3;333 

4000 

4(;67 

5:333 

6000 

9 

7500 

15000 

225,0 

3000 

3750 

4500 

5250 

6000 

6750 

10 

8333 

1666' 

2500 

3:333 

4167 

5000 

5833 

6667 

7500 

11 

916^ 

18  3  33 

2750 

3667 

45  S3 

a.')  0  ( ) 

6417 

73:33 

8250 

S=    1 

loui»'-' 

2UU0'^ 

3000 

40  00 

500U 

(KM  M.I 

70  (Mt 

a>oo 

•AM)0 

§    2 

20000 

40000 

6000 

8000 

10000 

1-2(MM> 

140  (Ml 

16000 

ISooO 

"    3 

30000 

aiooo 

900,0 

i2o'o;o 

12000 

1500  0 

1  S(  M  1 1» 

21(Mm:» 

240(M> 

27000 

^    4 

40000 

8(0  0'' 

i(u:too 

•3(  H  f  (  H  t 

•J4(MM) 

'2^11  ( )  0 

3-20  0  0 

30000 

5 

5n(MV' 

lociuV' 

I'oo'o 

•2(}0  ( )  0 

•j.^IMM) 

Ml  H  M  M  ) 

.'lalMM) 

4(HMM) 

450  00 

n    o 

:.'UiO" 

4-iiMr' 

t;;;oo 

8400 

K  la  1 1 0 

1  ■.'(',(  M) 

147iM» 

nOMMI 

is'.lOO 

1    3 

33100 

6<320o 

90  0  0 

13240 

1  (;:>:,() 

I'.l^t'M) 

2317  0 

2(  U  ^  <  1 

207  90 

^   4 

46410 

928^0 

13923 

l.S.-)tU 

2.'i'2(>5 

2:s4(; 

3-24  s  ; 

371  2  S 

417  (U) 

S*   5 

6l!05i 

1221i02 

183115 

24420 

305  2  6 

liOClU 

42736 

48841 

694I4I1 

^    6 

ji~t 

ii:5« 

154 

3ll2 

;^1 

I4l7 

SOS 

16,2 

385|7.8 

Ki2,'. 

•14 

544)i()i9 

61712|5 

CO Tt<  -*  m  ifi  ic  ?o  CO  ?o  «o  i>- 


11 


-*   lO   lO  O  l^   l^  <Xi  OD 


§S  g  3  i^  s 

sSij 

iC 

Sigg 

S8§5£ 

^  T  •; 

5 

0^8 

ssllli 

If;  S  «^ 

iiig 

SS5SI 

I5f? 

2J 

iiig 

«  i  9  3  5 

-^  ft  r- 

^ 

giig 

CO   X;   Ci   t'   X 

oj  73  ^  f  i.- 
^  c--:  t<  -t-  -H 

^  Fa  S 

^  o  iTS 

% 

§sii! 

sv;sss 

o  'fi  -^ 

f: 

-^i^g 

siS^s 

^   :i  )i 

\L 

ssig 

s;ii5g 

i5  ;^  :-^ 
i?5  i','*  i~ 

H 

HIS, 

2z;:35 

n:  t--^  ;q 
o  ;n  .75 

% 

Silig 

2»3isi| 

2J  :t  .t 

,-:=;   ;^   j-^ 

lit 

sSgg 

s??§5S 

ggs 

?. 

giJig 

Ss5l5 

lis 

iiig 

21311 

iSs 

f- 

f3;3ig 

SgSil 

III 

% 

Siig 

sssgl 

-r  irf  ir: 

S 

illg 

2i;|iii 

^  ?i  ,^ 

^  ^  iii 

g 

s  s  i  g 

SJfISi 

ISli 

5 

liig 

2g|3i 

i2  3r  '^ 

% 

iisg 

"^siis 

iSii 

7i 

eSII 

oo 

ji 

3 

£^ 

2 

« 

It 

|1 

S 

z^ 

3 
ft 
-f 

s 

i 

1 

CO 

1 

s 

^ 

S 
n- 

1 
^ 

7? 

3" 

2J 

? 
% 

1 

U3 

8 

-? 

§ 

? 

-^ 

57 

\a 

'^ 

s 

1 

<<*< 

s 

% 

'^ 

1 

,^ 

C! 

ft 

^ 

CO 

1 

i 

s 

■* 

% 

38 

lit 

1ft 

1 

s 

5 

gi 

w 

■o 

5t 

^ 

'^i 

I- 

-tr 

2 
S 

X> 

i 

c 

3 

[^ 

§ 

•"• 

CO 

i 

§ 

§ 

S 

^ 

I- 

lO 

I- 

5^ 

§ 

@ 

g 

bo  a.  *:  >  u 
s  JT  o  "  v 
<  -y.  c  X  ::; 


u.  ^  < 


'!''  d  *-*   ^ 

3    JT  o    o 

<  X  c  ?; 


'p. 


^  t-;  71  7l  :q  ^  Zr:  •-;  f !  f:  ^  $  t-  5  ^  o  5  «  5  fi  ?.  r?  -3  S  1?:  o  ^ 


^ 

a.    * 

» 

„ 

f 

^ 

» 

^ 

•«• 

a, 

^ 

N 

~' 

-f  x  :-: 

?iit 

-T 

i-t  T  ! 

?^^ 

i-= 

r-T^, 

^ 

Sit 

is 

n 

X 

ZlZ 

-7 

1^ 

5g 

■o 

■»•     X 

^ 

^ 

o 

^ 

_. 

_ 

^, 

X 

•r 

X, 

(M 

y. 

^'-^ 

r.^ 

^ 

Z-:H: 

r.rf 

'~ 

'.2  -'^  rr 

•T 

-"-?  -S 

Z 

^ 

X 

^X 

!^ 

Z\ 

■r. 

^3rj 

?!?i 

^ 

X  x 

?;:i 

X 

S?2?.^ 

•^ 

^^ 

5 

g 

?2 

8g 

S 

2 

i^ 

-. 

X  - 

■^ 

^ 

o 

^ 

,, 

.^. 

^ 

•)• 

» 

-. 

N 

L- 

--- 

~\~.\ 

H 

?]?i 

:>:  ?S  fi 

:^ 

-^x 

^' 

-:^ 

-3 

^SE 

^; 

-z 

fls 

O 

■r. 

-r  » 

» 

-!• 

^ 

■J" 

* 

« 

,0 

* 

oo 

W 

~ 

--- 

^5^ 

?? 

=  i^ 

fjB 

^ 

58r? 

^^ 

2^ 

•3 

5 

s 

^§ 

11 

g 

ii 

00 

- 

~Z2t2 

3^?5 

s 

O 

X  i^- 

^ 

i^::^?; 

S 

::?4 

.:2 

i- 

;t 

?2a 

?^ 

5 

|2 

iT> 

_ 

„  ^ 

^ 

„ 

^ 

^ 

» 

_ 

^ 

^ 

^ 

i-l 

i--. 

'^'Z-'l 

H^ 

^ 

?2  "^ 

H?> 

~y 

%'^r- 

?. 

ft^ 

■-; 

2 

X 

•-i  X 

^ 

n 

H^ 

^ 

^ 

^  » 

00 

■«< 

o 

00 

^ 

* 

OO 

„ 

-. 

» 

L-  C5  »-^ 

;:S2?^i^s^?> 

^^3^2 

?; 

2R£5^g^g[t 

S 

^ 

5§ 

(M 

-fU:  XO 

Ti-^ 

ri 

Z?"  -• 

Tl  X 

z^ 

S  i?  |£ 

c. 

d:?.^ 

-t 

X 

•f? 

3^^ 

7. 

1 

"^ 

?1 

>> 

_2 

CC  ^  irt  -O  CO 

_^ 

pr 

-f>j: 

X 

::    =    = 

L- 

-^x 

= 

Ti 

•-= 

XX 

r 

_- 

C^?} 

?>  ?■>  C-»  7:!  ?■>  •;?  -Ti  Ci  ?t  ^t  CC  M  n  CO  T}^  -*  Tti  Tfi  Ti<  -f  -^  -^  X  X  O  O  ?1 
Size  in. 


■»•         »   f 


•w  L-  Ci  o  ■?:»  r:  t-CiD  X 


ooooooooo 

Ci '-  T'»  -*  o  t-  00  o  ^^  ?t  -t-'  :c  I'  ^c:  c?  c^  »o 
r-  Ji  Ii  -ri  ci  ?i  ?}  CO  CO  CO  CO  w  ^:  c^'*'  -p  -*  'si 


•-r  X  c:  c;  ?■►  ct 


t-  X  =i  o  — 


(M  _^ 


•-^  I'  X  —  o 


o  t-  ?i  CO  'f  o  -o  t-  X  ^  3  :7;  2  i  Z^  Is  k"^,  3^  k^  y,  ?j  S 


t.---^t-xc:o^-oico;;t;i3'O^Q020^2]§?^k'j^k-^«« 


Table  showing  contents  of  Saw  Logs  in  Inch  board  measure.  26 


L'Rth. 

12 

14 

IG 

18 

20 

22 

24 

26 

28 

30 

5  12 

;-)() 

5S 

07 

75 

83 

92 

100 

los 

117 

125 

H   1'3 

m 

7;; 

S4 

95 

105 

110 

12(5 

137 

147 

158 

^14 

77 

90 

103 

110 

129 

142 

155 

1(57 

ISO 

193 

5-  15 

9:5 

109 

124 

140 

155 

171 

180 

202 

217 

233 

J](> 

no 

128 

147 

105 

183 

202 

220 

238 

257 

275 

|17 

128 

150 

171 

193 

214 

;>:S0 

257 

279 

300 

321 

818 

148 

173 

197 

222 

247 

271 

290 

321 

345 

370 

19 

109 

198 

220 

254 

283 

311 

;>39 

307 

3,95 

423 

*20 

192 

224 

25(5 

288 

320 

352 

3.S4 

410 

44S 

480 

21 

210 

'J53 

289 

325 

3(;i 

397 

433 

409 

505 

541 

oo 

242 

2S>> 

323 

3(53 

4lt:{ 

444 

4S4 

524 

5(55 

605 

23 

2<)9 

314 

359 

404 

44<» 

494 

539 

5S3 

(528 

073 

24 

298 

348 

397 

447 

497 

540 

59(5 

(U() 

(595 

745 

25 

328 

3S3 

438 

493 

547 

or.2 

(557 

711 

7(5(5 

821 

20 

:{00 

4'>0 

480 

540 

000 

(;;io 

720 

780 

840 

m)o 

27 

:m 

458 

524 

590 

050 

721 

787 

852 

918 

983 

28 

428 

500 

571 

(>42 

714 

7S5 

8;'50 

928 

999 

1070 

29 

404 

512 

020 

097 

775 

852 

929 

1007 

10S4 

1101 

;jo 

502 

580 

0(59 

753 

837 

920 

1004 

loss 

1171 

1255 

SI 

541 

032 

722 

812 

903 

993 

1083 

1173 

1203 

1353 

o? 

5S2 

()79 

770 

873 

970 

1007 

11(J4 

1201 

1358 

1455 

i)-> 

624 

729 

833 

937 

1041 

1145 

1249 

1353 

1457 

1561 

:J4 

008 

779 

sm 

1002 

1113 

1224 

1330 

1447 

1558 

1670 

;!r> 

713 

832 

951 

1070 

1189 

1308 

1427 

1545 

10(54 

1783 

:]«} 

7()0 

887 

1013 

1140 

1207 

i:]93 

1520 

1(U7 

1773 

1900 

:j7 

808 

943 

1078 

1213 

1347 

1482 

1017 

1 751 

isso 

2021 

88 

858 

1001 

1144 

1287 

1430 

1573 

1710 

1859 

2002 

2145 

:}9 

909 

1000 

1212 

13(ht 

1515 

1007 

1819 

1970 

2r^2 

2273 

40 

<M)2 

1122 

1282 

1443 

1003 

17()3 

1924 

20S4 

224*4 

2405 

41 

1010 

1180 

1355 

1525 

1094 

1804 

203:5 

2202 

2372 

9JAI 

42 

1072 

1250 

1429 

1008 

17  SO 

1905 

2144 

2322 

2501 

2(580 

Table 

showi 

ngcon 

tents  c 

f  Cisterns,  Tanks, 

&c.inbbl.of31Kgls. 

Depth. 

S  4 

=  4V, 
%  5 

:.  r^i 
^,« 

7 

7K 

8 

81 

9 

9V 
10 
11 
12 
13 
14 
15 
1(5 
18 
20 


7 

8 

9 

10 

11 

12 

13 

14 

15 

16 

18 

21 

24 

27 

30 

33 

3(5 

39 

42 

45 

48 

.54 

2(5 

;;( 

34 

38 

42 

45 

49 

5:5 

57 

(50 

08 

32 

37 

42 

47 

51 

50 

(^1 

()5 

70 

75 

84 

39 

45 

51 

50 

02 

OS 

7:> 

79 

85 

iK) 

101 

47 

54 

60 

(57 

74 

81 

87 

94 

101 

107 

121 

55 

03 

71 

79 

87 

95 

102 

110 

lis 

1:2(5 

142 

(54 

73 

82 

91 

101 

110 

119 

128 

i:J7 

140 

1(55 

7:5 

84 

94 

105 

115 

120 

i:;(5 

147 

157 

1(58 

189 

8-1 

95 

107 

119 

i;!i 

143 

155 

1(57 

179 

191 

215 

(U 

los 

121 

135 

MS 

102 

175 

1S9 

202 

210 

243 

100 

121 

130 

151 

i(;<; 

IM 

19(5 

211 

o>>~ 

:242 

272 

lis 

135 

151 

los 

IS,-, 

2(»2 

219 

2:50 

252 

;209 

30:5 

i;!l 

149 

los 

1  ^^7 

2('5 

224 

;>jO 

)li\\ 

2Si) 

29S 

;!:!(■) 

i:.s 

isi 

.'.'( i; ; 

220 

24S 

271 

29:5 

:510 

;-5:;9 

:50l 

4(0 

iss 

2i:> 

24-.' 

2(;9 

295 

...).) 

:;49 

5570 

403 

4:50 

4s:5 

L'21 

«)-,•) 

2M 

315 

347 

37S 

410 

441 

473 

504 

.507 

L'5(; 

292 

3-i9 

30(5 

402 

439 

475 

512 

548 

58.5 

058 

294 

33(; 

37S 

J  20 

402 

504 

54(5 

587 

(5:29 

071 

755 

3:m 

oS'i 

43(1 

477 

5  J5 

57:; 

(521 

0(;8 

710 

704 

859 

423 

4s:; 

544 

(504 

005 

725 

7  SO 

84(5 

90(5 

IMh 

108S 

522 

597 

071 

74(5 

821 

895 

970 

1044 

1119 

lllH 

1343 

20 

()0 
7(5 
9:5 
113 
1:54 
1.58 
183 
210 
239 
209 
302 
337 

451 
.5557 
630 
731 
839 
955 
1:209 
1492 


Table  showing 

contents  of  Granaries,  Bins,  etc.  10  ft. 

liigh. 

27 

L'jjth. 

8 

9 

10 

11 

12 

13 

14 

15 

16 

18 

20 

21 

iy 

192 

217 

241 

265 

289 

313 

3.38 

302 

38(3 

434 

482 

.50*; 

t^ 

225 

253 

281 

309 

338 

366 

3W 

422 

4.5(J 

.506 

.5<>J 

.591 

?4 

257 

289 

.321 

a54 

386 

418 

450 

482 

514 

579 

043 

675 

E'4K 

2H9 

325 

362 

398 

4^4 

470 

500 

.542 

579 

651 

72:3 

7.59 

r  1^4 

321 

362 

402 

442 

482 

522 

.5^>3 

603 

043 

723 

804 

^4 

354 

398 

442 

486 

530 

575 

619 

6^)3 

707 

796 

884 

928 

6  " 

386 

434 

482 

530 

.579 

627 

675 

72:3 

771 

868 

9f>4 

1013 

^M 

418 

470 

522 

575 

627 

679 

731 

783 

836 

940 

l(^5 

1097 

7 

450 

506 

.563 

619 

675 

731 

788 

844 

900 

1013 

1125 

1181 

V4 

482 

542 

603 

663 

723 

78:3 

844 

904 

9CA 

1085 

1205 

126f) 

8 

514 

579 

US 

707 

771 

8:36 

IRIO 

9f>4 

1029 

11.57 

1286 

i:i50 

8K 

546 

615 

683 

751 

820 

88S 

956 

1025 

1093 

1229 

1.366 

14.34 

9' 

579 

651 

723 

796 

868 

940 

1013 

1085 

1157 

1302 

1446 

1.519 

9K 

611 

687 

76:3 

840 

916 

992 

1069 

1145 

1221 

1374 

1527 

1603 

10^- 

643 

723 

804 

884 

9r>4 

1045 

1125 

1205 

1286 

1446 

1607 

lf)88 

11 

707 

796 

884 

972 

1061 

1149 

1238 

1326 

1414 

1591 

176.S 

1856 

13 

771 

868 

964 

1061 

1157 

1254 

1350 

1446 

l.>43 

1736 

1929 

2025 

Table  showing  contents  of  Corn-cribs  10  ft.  high — Corn  in  ear.^ 


L'jjth. 

10 

11 

12 

14 

16 

18 

20 

22 

24  26  28 

30  32 

5^3 

1:35 

149 

162 

189 

216 

243 

270 

297 

324  351  378 

405  432 

£3K 

1.58 

173 

189 

221 

252 

284 

315 

a47 

378  410  441 

473;  504 

5/^ 

180 

198 

216 

2.52 

288 

324 

3(50 

396 

432  468  .504 

.540,  .576 

E-iK 

203 

223 

243 

284 

C24 

3a5 

405 

446 

486  .527'  567 

608:  648 

n   5  " 

225 

248 

270 

315 

360 

405 

4.50 

495 

.540  585 

6:30 

675  720 

^  5V 

248 

272 

297 

347 

31K5 

446 

405 

545 

594  &44 

69:3 

743  79^2 

6- 

270 

297 

324 

378 

432 

486 

540 

594 

648  702 

7.56 

810  8(M 

6K 

293 

322 

.351 

410 

4GS 

.527 

585 

644 

702!  761 

819 

878  9:36 

7 

:315 

347 

378 

441 

504 

.567 

6:30 

693 

7.56j  819 

882 

9451008 

7K 

:3.38 

371 

405 

473 

.540 

608 

675 

743 

810  878 

945 

1013  1080 

8 

360 

sm 

432 

504 

.576 

648 

720 

792 

864  9361008 

1080  11.52 

8W 

383 

421 

459 

536 

612 

689 

7r>5 

842 

918  9951071 

1148  1224 

9" 

405 

446 

486 

mi 

648 

729 

810 

891 

972  10.53  11:34 

1215  1296 

^K 

428 

470 

.513 

599 

6.S4 

770 

855 

941 

1026  1112  1197 

128:3  1.368 

10 

450 

495 

540 

630 

720 

810 

900 

990 

lOSO  1170  1260 

1.3.501440 

11 

495 

.545 

594 

693 

792 

891 

9^>0 

10S9 

liss  1287  1:386 

14851.584 

12 

.540 

594 

648 

756 

864 

972 

1080 

1188 

1296;1404 

1512 

1620;1728 

The  top  lines  indicate  the  length,  the  left  hand  columns  the  f  (54  8 
width.     A  bin  7  ft.  wide  and  KJ  ft.  long  will  holdHOO  bu.  of  grain  j         <)' 

or  504  bu.  of  corn  in   the  ear,   supposing  it  to  be  fen  ft.  high.  | 

When  )nore  or  less   than  10  ft.   high,   cut  off  the  right  hand  [  58.3.2 
figure    and    Dtultiply  by    the  g-i^'Cfi  height.      For  instances, 
a  corn  crib  8  ft.  wide,  IS  ft.  long  and  ni/te  ft-  high,  contains  583  bu. 

A  Wagon-bed,  3  ft.  wide,  10  ft.  long  and  l.^i  inches  deep,  will  f  4)04  1 
hold  30  bu.  and  1  tenth.     Cutting  off  the  right  hand  figure  from  j        "o  0 

the  number  corresponding  to  the   width   and   length,   gives   the    ]        ^ 

contents  of  a  body  1~  inches  deep.  Then  add  to  this  number  [  30.1 
such  part  of  itself  as  the  depth  over  Vi,  inches,  is  part  of  l"-2.  Thus,  for 
15  in.  add  ]^  ;  for  10  inches  y^, ;  for  IS  in.  Ji,  etc.  Or  multiply  the  num- 
ber found  in  table  by  the  depth  in  inches,  divide  by  1'2  and  cut  off  right 
hand  Jigure. 

*Rules  for  measuring-  com  in  the  ear,  varj'  all  the  way  from  3456  to  4320  cubic  inches 
to  the  bushel.  No  rule  can  be  laid  down  that  will  tally  in  all  kinds  of  corn.  The  .ilxive 
table,  and  rule  on  page  67  are  based  on  3840  cubic  inches  to  the  bu.,  which  is  considered 
as  reliable  as  a  teener  a!  rule  can  possibly  l)0,  and  will  hold  out  when  com  is  sound. 


28    WAGES  Table  jor  Days 


Rate 
=  1 

?  3 

i 

0 


A 

.15 
.20 

.25; 

.30[ 
.35 
.40 
.45 
.50 


6i 
.12 
.18 
.23! 
.20 
.35 
.411 
.47 
.53!        , 

.58  .67  .75 
1.001.17 1.331. .50 
1.501.752.00  2.25 
2.002.332.073.00 
2. 50  2. 92  3. 00  3. 75 


.13' 
.20 
.27 
.'SS 

•12 

.47 
.53 


.17  .18, 

.'.io  .28 

.;^3  .37' 

.42  .40 

.50  .55 

.58  .t>4 


<fe  Hours  at  given  rates 

$6  6W  $7  71;  $8  $9 

.10   .11    .12   .13   .13   .15 
.20   .22   .23   .25,  .27   .30 
.30,  .33  .35   .38  .40  .45 
.40  .43.  .47   .50.  .53   .00 
.501  .54]  .58,  .63  .67  .75 
.60'  M  .70  .75   .80  .001 
.70!  .76  .821  .88  .031.051 
.80  .87i  .0:31.001.071.201 
00  .081.051.131.201.351 


per  Week. 

ion  17^2 

.17i  .18  .20 
.33  .37:  .40 
.50  .55  .60 
.67,  .73  .80 
.83  .021.00 
.001.101.20 
.171.281.40 
.331.471.60 
50 1.651.80 


.8:3  .0;>1.(X)  1.08 1.17 1.2,51. 33 1.50 1.671. as 2.00 
l.()7 1.8:5  2. 00  2.172.3:3  2..50  2.67  3.  IX)3.;]:33.67  4.00 
>>  502.7' "■  '"'■'  '*^''  '^'*'-  ^'^'^  (^^-i^  ^'i'  (\f\K  Kf\n  fM^ 


CK )  ;5. 25  3. 50  3. 75  4. 00  4.  .50  5. 00  5. 50  ( >.  00 

'^ 8.00 

$10. 


3.  m  3. 67  4. 00  4.  :>]  -i.  (57  5. 00  5.  ;>3  o!  00  ii  67  7!  33  8. 00 
4.17,4.585.005.425.836.256.077.508.33,0.17$ 


Table  showing  the  WAGES  for  Days  at  given  rates  per  Month. 

Rate. 

$14, 

$15. 

$16.|$17. 

$18. 

$19.'$20. 

$21. 

$22. 

$23. 

$24. 

$25. 

Pl 

.54 

.58 

.62 

.65 

.60 

7:  J,      7  7 

.81 

.S.5 

.S,s 

02 

.IKJ 

•<  0 

l.OS 

1.15 

1.23 

1.31 

l.:3b 

L46  i;.54 

1.62 

l.(JO 

1.77 

i.a-) 

1.02 

'3 

l.()2 

1.73 

1..S.5 

1.06 

2.08 

2.10,  2.31 

2.42 

2.  .54 

2.(i5 

2.77 

2.  .88 

4 

2.15 

;3.31 

2.46 

2.62 

0  'r~ 

2.0.2  3.08 

3.23 

3.38 

:3..5l 

3.(50 

3.<S5 

5 

2.60 

2.8S 

3.08 

3.27 

a  46 

:3.f>5  3.a5 

4.04 

4.2:3 

4.42 

4.62 

4.81 

6 

3.23 

:i4<3 

3.60 

3.0:2 

4.15 

4.  .38  4.62 

4.a5 

5.(J8 

5.:31 

.5.-54 

.5.77 

7 

3.77 

4.04 

4.31 

4.  .58 

4.85 

5.12  5.:38 

5.65 

5.02 

6.10 

(j.4(* 

6.73 

8 

4.31 

4.62 

4.02 

.5.2:3 

5.  .51 

.5.85  6.15 

6M 

6.77 

7.08 

7  ',}S 

7.60 

0 

4.85 

.5.10 

.5.  .54 

.5.88 

6.23 

()..58  6.02 

7.27 

7.62 

7.«M) 

s'.m 

8.65 

10 

5.3s 

.5.77 

0.15 

6.  .51 

6.02 

7.31    7.  (JO 

8.08 

8.46 

8.  .S.5 

0.2:; 

0.62 

11 

.5.0:.' 

(;.:]5 

6.77 

7.10 

7.62 

8.04   8.46 

S.ss 

0.:il 

0.7:; 

10.15 

10.  .58 

12 

6.4(; 

O.'.l-i 

7. 3S 

7..S.5 

8.31 

8.77  0.:-':; 

0.()0 

10.15 

10.62111.08 

11. .54 

13 

7.(K> 

7.  .■">(> 

8  J  to 

S..50 

O.Oo 

0.  .50 10.  (.HI 

10.50 

11.00 

11.. 50 

12.00 

l:i..50 

14 

7.  .54 

S  (IS 

8. 62 

0.15 

0.60 

10.;i3;10.77 

11.31 

11.85 

12.:;<S 

12.021:5.46 

15 

8.0s 

8.()5 

0.23 

O.si 

lo.:]S 

10.'.H)11..54 

12.12 

12.60 

i:].:-'7 

1:3.  .S-3 

14.42 

16 

8.62 

O.riJ 

0.85 

10.46 

11.  OS 

11.6012.:n 

12.02 

13.. 51 

14.15 

14.77 

1.5.38 

17 

0.15 

0.81 

10.46 

11.12 

11.77 

12.421:!.  OS 

13.73 

I4.:;s 

15.04 

1.5.60 

16.:35 

18 

0.60 

lo.:;s 

ll.os 

11.77 

12.4<; 

1:3. 15 

i:3..s.-. 

14..^4 

15.'i:; 

15.0210.62 

17.:31 

10 

10.2:; 

IO.'h; 

11. 6',  1 

12.42 

i:U5 

13.SS 

14.  (•-•,> 

15.:;5 

16.  OS 

l<;.s]  17..54 

18.27 

20 

10.77 

11.54 

12.:;i 

13.  OS 

i;3..s.") 

14.62 

15.:;s 

16.15 

16.0-.' 

1 7.60,1  S.  46 

10.23 

21 

11.31 

12.1-2 

12.0-.' 

14.M 

l.-).:;5 

16.15 

16.06 

17.77 

1S.5S|10.:38 

;,'(».  10 

22 

11.85 

12.C.'.i 

VUy] 

14".3s 

15.2:; 

16.  OS 

16.0-i 

17.77 

is.o-j 

10.4():iO.:31 

21.15 

23 

12.:3S 

v.i.2: 

14.1.'. 

1.5.04 

1.5.02 

16.S1 

17.00 

1S..5S 

10.40 

•JO. 35  il. 23 

•2-.M2 

24 

12.02 

i:;.sr, 

14.77 

15.60 

16.6-.' 

17.M 

IS.  40 

10  :js 

20.31 

•il.:2:!!^22.15;-j:;.(;8 

25 

1:3. 4(; 

14.-1-J 

1.5.:]s 

16.:;5 

I7.:]l 

18.:i7 

10.2:; 

20;  10 

•-'1.15 

•.>'.Mr2'.'3.oN-j4.04 

26 

14.00 

15.00 

16.00 

17.00 

18.00 

10.00 

20.00 

21.00 

22.00 

:2:3.00 

24.00 

;i.5.oo 

Table  showing  the  equivalent  DECIMALS  of  Common  Fractions. 


Com.  Frac. 

V. 

^/a 

'!  z 

1 

^^ 

V6 

2     . 

V5 

*/5 

Deci.      " 

.5 

.3333 

.666  8 

.25 

.75 

0 

.4 

.6 

.8 

Com.  Frac. 

V'« 

^'6 

'!. 

Va 

'U 

V's 

V'l2 

V'l. 

Vis 

Dcci.      " 

.1688 

.833  3 

.125 

.375 

.025 

.875 

.083  3 

4160 

..58-3 

Com.  Frac. 

"As 

V'l6 

Vi« 

V16 

V16 

V16 

"/16 

^Vl6 

16/ 

/la 

Deci.      " 

.0188 

.06=5 

.18' 5 

.31  =  5 

.43"  5 

.562  5 

.08^5 

.81-^5 

.03^- 

ROPP'.S    RAPID    RErKONER.  29 

ADBITIOX. 


Addition  is  the  process  of  finding  tlie  sum  of  two  or 
more  numbers. 

Addition  of  Decimals.  Rule. —  Write  the  numbers  so  that 
the  decimal  points  shall  stand  directly  under  each  other.  Add  as 
vi  simple  addition,  and  place  the  decimal  point  in  the  sum,  directly 
under  the  points  above. 

r       9.5 
I       56.25 
Add  9.5,  56.25,  672.87o,  and  j      672  875 
3008.3125.  I     3008.3125 

I 


Ans.  37-46.9375  Sum,  or 
Amount. 


All  who  would  become  proficient  in  adding  long   f     ^4 
columns  of  figures,   should   practice   the  following 
method. 

Begin  at  the  foot  of  the  right  hand  column  and  add, 
naming  results  only;  thus,  15,  20,  29,  35,  42,  50,  54; 


J  09 
set  down  the  4,  add  the  5  (tens)  to  the  next  column  }  .,- 
and  proceed  in  the  same  manner,  14,  17,  23,  31,  36,  00 

40,  49,  56.     This  is  much  more  philosophic,  and  con-  q- 

siderably  quicker,  than  to  crawl  up  a  column  in  the  — — 
following  manner  ;  thus,  7  and  8  are  15;  and  15  and  [  ^"^ 
5  are  20,  and  20  and  9  are  29,  and  so  on. 

Always  add  the  carrying  figure  to  the  next  column  on 
commencing,  and  when  the  columns  are  long,  it  is  well  to  set 
it  down,  as  it  will  often  save  the  trouble  of  going  over  the 
work  already  performed. 

To  test  addition  :  Add  the  eoluynns  in  opposite  direction.^. 


SIBTRACTIOX. 


Subtraction  is  the  process  of  finding  the  difference 
between  two  numbers. 

Subtraction  of  Decimals.  Rule. —  Write  the  numbers  so  that 
the  decimal  points  shall  stand  directly  under  each  other.  Subtract 
a.s  in  whole  numbers,  and  place  the  decimal  point  in  the  remainder, 
directly  under  the  poiiits  above. 


30 


KOPP  S    RAPID    KECKONER. 


From  843.75  take  507.625. 


[. 


84o.750  Minuend. 
597.(525  Subtrahend. 
ns.  246.125  Difference,  or 
*  Remainder. 

Two  or  more  numbers  may  be  taken  from  another,  at 
a  single  operation,  by  imting  in  the  remainder,  such  Jiyures, 
ax  added  to  the  i<uni  of  each  column  of  the  subtrahend.^,  trill 
make  it.H  right  hand  figure  equal  to  the  corresponding  figure 
in   the  minuend. 

23()7  Min. 

645  Sid). 
463  " 
_  386  " 

L  Ans.  S873  Rem. 


A  man  wlio  had  an  annual  income  of 
S2367,  paid  for  board  $645,  for  clothing 
$463,  and  $386  for  incidental  expenses. 
How  much  money  had  he  left  at  the  end 
of  the  vear? 


AVrite  the  subtrahends  under  the  minuend  and  proceed, 
thus,  saying  6,  3  and  5  are  14,  and  3  (written  in  the  re- 
mainder) are  17,  a  numl)er  whose  right  hand  figure  is 
equal  to  the  corresponding  figure  in  the  minuend.  1  to 
carry  to  8,  6  and  4  are  19,  and  7  (written  in  the  rem.) 
are  26.  2  to  carry  to  3,  4  and  6  are  15,  and  8  (written 
in  the  rem.)  are  23. 

In  balancing  accounts  tliis  method  may  be  applied  with 
practical  advantage,  in  finding  the  difference  between  the 
two  sides. 

Add  the  larger  side  in  the  usual  manner;  then  begin 
at  the  top  of  the  smaller  side,  adding  doirmvard,  and  utU- 
ing  such  figures  in  the  base,  as  are  needed  to  produce  the  re- 
quired  balance. 

T,„  AVILI.IAM    WEAVER.  ,  .. 


Jan.   7,  To  Mdsc.,         $34 

u    25,     "         "  41 

Mar.  4,     "         "  17 

$93 


1873. 

Jan.  25,  Bv  Ca.sh,         $56  25 
Mar.  15,     '"'        "  23  75 

"     30,     "     balance,  $13  Si 
~$93,87 


In  this  account  we  first  add  the  larger  (dr.)  side,  then  be- 
gin at  the  top  of  the  other  side,  adding  downward  thus, 
5-f-5=10,  and  7  i  the  figure  recpiired  to  produce  the  balance) 
are  17;  write  down  the  7  and  carry  the  1.  l-[-2  f  7  -10,  and 
8  (written  in  the  balance)  are  18.  1  A  6-1-3=10,  and  3  (writ- 
ten in  the  balance)  are  13.  1  •  5  [  2  —  8,  and  1  (written  in 
the  balance  are  9.) 


ROPr  S    RAPID    KECKU-NKK. 

To  test  subtractlcjn  :   Add  the  difference  and  subtrahend  to- 
tjether — the  suvi  must  cqiud  the  lahiuend. 


MII.TIPI.IC  ATIOX. 


4  6.7  5 
2  0.5 

MidtipUcand 
Multiplier. 

1 

23375 

9  350 

Ans. 

9  0  8.3  7  5 

Produet. 

])^Lulti2>lic<ltloii  is  the  ijrocess  of  taking  one  number 
us  many  times  as  tliere  are  units  in  anotlier. 

Multiplication  of  Decimals.  Kule. — Mulfiph/  a.-i  in  irhole 
numbers,  and  point  off  as  many  decimal  places  in  the  product  (6s 
there  are  dec inuU  places  in  both  multiplicand  and  multiplier.  Jf 
there  be  not  so  many  ji(jures  in  the  product,  supply  the  deficiency  by 
prefixing  ciphers. 


Multi2)ly  46.75  by  20.5. 


Multiply  .25  by  .25. 

To  multiply  Ijy  10,  100,  1000,  etc.:  Annex  as  many  ciphers 
to  the  multiplicand  as  there  are  ciphers  in  the  multiplier. 

If  the  multiplicand  is  a  decimal  number,  remove  the  decimal 
point  as  many  places  to  the  right  as  there  are  ciphers  in  the  multiplier, 
annexing  ciphers  if  necessary. 

Multiply    435  by  100.  435X100=43500  Ans. 

Multiply  6.25  by  1000.  6.25X1000=6250  Ans. 

"When  there  are  ciphers  on  the  right  of  the  multi})licand 
and  multiplier,  multiply  the  significant  figures  together  and  annex 
as  nmny  ciphers  to  the  product  as  there  are  ciphers  07i  the  right  of 
both  factors. 

r  6700 

480_ 
Multiply  6700"bv  4S0.  \  536 

I  -^!^ 

[   Ans.  3216000 

To  multiply  a  whole  number  by  a  fraction  :   ^fidfipjy  thr 


oZ  liOrP  S    HAPID    TIECKOXEP. 

irlinlr  iiiDiihi  r  hij  ihr  ininiod/or  of  lite  fraflion,  and  dhule  the  prnd- 
vci  bif  (lie  (ItiKuiiiiiatiii'. 

f  M 

Mulni.ly  .-„;   I,y  3.  j  ^ 

To  test  niiiltipliontioii :  Divkle  the  product  hi/  the  niulliplitr — 
the  quotient  iinist  eqii(d  the  lanliipl'uund. 


WITISIOX 


T>ii'isi(ni  is  the  jn'ocess  of  findin'g  liow  many  times  one 
number  is  equal  to  another. 

Division  of  Decimals.  Kule. — Divide  as  in  vhole  numbers, 
annexing  ciphers  to  the  dividend  if  neceamry,  and  point  njj'  a.-i  niani/ 
decimal  place.^frorn  the  quotient  as  the  decimal  places  in  the  dividend 
exceed  those  in  the  divisor.  If  there  be  not  so  many  places  in  the 
quotient,  supply  the  deficiency  by  prefixing  ciphers. 


Divide  93.5  hy  0.75. 

See  "  Short  Method  of  Divis- 
»n,"  page  37. 


'  Divisor.  Dividend.  QuoticDt, 
G.75)  93.5000  (13.85-f-  Ans. 
26  00 
5  750 
3500 
125  Remainder. 


Divide  .784  I)v  24.5. 


24.51.7840  (.032  An> 
490 


To  divide  by  10,  100,  1000,  etc. :  Cut  off  as  many  figures 
from  the  right  of  the  dividend  as  there  are  ciphers  in  the  divisor. 
The  figures  thus  cut  off  inll  be  decimals. 

If  the  dividend  is  a  decimal  number,  remove  the  decimal 
point  as  many  places  to  the  left  as  there  are  ciphers  in  the  divisor, 
pr<  fixing  ciphers  if  necessary. 


Divide  6475  by  10. 
Divide  8.75  bv  100. 


6475-10=647.5   Ans. 
8.75  ^100  =.0875  Ans. 


When  there  are  ciphers  on  the  right  of  the  divisor,  cut 

ff  the  ciphers  on  the  right  <f  the  divisor,  and  as  many  places  from 


ROPP'S    RAPID    RECKONER. 


33 


the  r'ujht  of  the  integral  part  of  the  divulend;  divide  by  the  dg- 
nificcuit  part  of  the  diviaor,  and  ivfien  thejirst  rejected  Jigure  in  the 
dividend  is  reached,  place  a  decimal  point  in  the  quotient,  and  con- 
tinue the  diviMon  as  far  as  required. 

{   10: 00)  693175  (46.25  Ana. 

Divide  69375  by  1500.      \  ^|-. 

I         75 

To  divide  a  whole  number  by  a  fraction:  Multiply  the 
whole  number  by  the  denominator  of  the  fraction,  and  divide  the 
product  by  the  numerator. 

64 


1)1  vide  64  bv  t. 


Ans. 


2)192 
96 


To  test  division  :  Multiply  the  divisor  and  quotient  together, 
and  to  the  product  add  the  remainder— the  result  must  equal  the 
divideml. 


THE    OECL^IAL,    .SCAEE, 


All  those  who  are  not  already  familiar  with  the  principles 
of  numeration,  should  carefully  study  the  following 

TABLE. 


j«    q    ^    ^    £    -^ 


Whole  Xuiubt'rs. 


6       7       8       9 
Dt'cimals. 


3-i  KOPPS    RAPID   KECXO^EK. 

UNITED    STATES    MUNEY. 


^ 

F»- 

ij 

c 

o 

t. 

5 

c 

i^ 

o 

o 

? 

c 

o 

c 

^ 

O 

o 

;h 

^ 

•^ 

oT 

o 

^ 

c 

^ 

•5 

o 

9.' 

oT 

o 

^ 

o 

o 

a 

o 

oT 

"x 

j^ 

_rt 

-2 

1 

o 

2 

"f. 

"r. 

o 

o 

o 

'?- 

« 

z. 

-^ 

^ 

m^ 

u^ 

Q 

^ 

Ci 

U 

r^ 

8 

0 

6 

4 

- 

3 

7 

5 

hitefjer^.  Dedmah. 

The  Decimal  2>ohit  is  the  sign  of  demarkation  be- 
tween whole  numbers  or  Integers,  and  decimal  fractions. 

The  first  place  on  the  left  of  the  point,  or  the  right  hand 
j)lace  in  whole  numbers,  is  units;  the  second  place,  tens ;  the 
third  place,  hundreds,  etc.  The  fii^st  place  on  the  right  of  the 
))oint  is  tenths ;  the  second  place,  hundredths,  and  so  on. 

The  United  vStates  money  system  is  based  on  the  decimal 
scale,  the  dollars  occupying  the  njiits^  place  ;  the  dimes,  the 
/f»^^s-' place  ;  the  cents,  the  hund red f h.^^  plixce;  and  the  mills, 
the  thousandths^  place. 

This  and  the  principles  of  decimals  should  be  well  un- 
derstood, and  committed  to  memory,  by  all  who  would  be- 
come scientitic  and  proficient  calculators. 

Note. — Be  careful  to  ilistiiiRuisli  hetween /nxs  and  tenths,  hundreds  and 
hiindridths,  etc.,  as  there  is  a  great  difference  in  the  meaning  of  the  two 
terms. 


^HORT    :?IETHOI>    OF    IflUI.TIPI^I- 
CATIOX. 


United  States  money  being  based  on  the  decimal  system, 
decimals  are  involved  in  nearly  all  commercial  calculations. 
J>y  the  ordinary  methods  of  computing  business  transac- 
tions, a  vast  amount  of  decimal  figures  are  usually  involved, 
which  are  neither  essential  nor  add  any  thing  whatever  to 
the    correctness  of  the   re<iuired    result,   since,  in  practice, 


KOPP'S    RAPID    KK(  KONEi;.  35 

orders  lower   tlian    cents  or  liuii<iredths  are  generally  dis- 
regarded. 

By  rejecting  tliose  decimals  in  both  multiplicand  and 
multiplier  which  give  rise  to  denominations  lower  tlian 
those  required  in  the  answer,  the  process  of  multiplication 
can  be  greatly  shortened,  and  much  useless  labor  and  tedious 
figuring  avoided.  This  is  effected  by  applying  the  following 
philosophic  and  strictly  scientific 

Rule. — Reverse  one  of  the  terms  aiul  icrite  it  for  the  viidtiplier, 
HO  that  its  centa''  order,  or  hundredtJis'  place,  will  fall  under  the  units 
place  of  the  midtiplicand. 

Reject  those  fif/ur&i  in  the  multiplicand  which  extend  to  the  ri<jht 
of  the  figure  then  ix  use  in  the  multiplier. 

Carry  the  tens,  however,  from  the  jyroducl  of  the  nearest  rejected 
fi(jure  (multijdied  mentally),  and  one  moke  when  the  unit 
jir/ure  of  said  product  is  five  or  OVER. 

Set  the  right  hand  figures  of  the  partial  prixlucts  in  the  same 
column,  add,  and  pinnt  off  tuv  places  from  the  right  of  the  product — ■ 
the  rc.fult  will  be  the  ansiver  in  units  and  hundredths,  or  dollars 
and  cents. 

Notes. — 1.  It  is  immaterial  wliich  term  is  takeu  fur  tbe  multiplier ; 
usually,  however,  the  cost  or  price  is  the  most  convenient. 

2.  "When  the  given  price  is  by  the  100  or  1000,  ascertain  its  value  per 
unit  (mentally) :  thus,  §.3  per  100  is  3  cts.  per  unit ;  §4  per  UKJO  is  4  mills 
per  unit  etc.  :  for,  according  to  the  rule,  the  cents'  order  must  fall  under 
the  units'  place,  or  rice  versa,  at  the  price  per  unit. 

We  will  now  attempt  to  elucidate  this  method  of  multi- 
plication more  fully,  and  illustrate  its  practical  application. 
We  will,  for  example,  find  the  value  of  a  lot  of  steers,  weigh- 
ing 9835  lbs.,  at  $3.18|  per  cwt. 

Explanation. — We  Avrite  the  weight    f 
9835,  for  the  multiplicand,  and  the  piice 
jjcr  cwt.,  $3.18f,   with   the  order  of   its 
figures  reverseff  and  the  fraction  5,  written 
decimally  (.75),  f<u'  the    multii)lier.     S3  \ 
per  100  is  3  cts.  per  unit;  hence,  the  3  oc- 
cupying  the  cents'  order  must  fall  under 
the  xLuits  (5)  of  the  multiplicand,  and  the   | 
other  figures,  in  reversed  order,  to  the  left   t    -^'^^• 
of  it;  mills  under  tens,  etc. 

We  first  multii»ly  by  the  3  as  in  ordinary  multijdication, 
obtaining  29505  (cts.)  for  the  first  partial  product ;  then  mark 
off  tlic  3  and  the  5  above  it,  by  a  vertical  line,  and  call  them 
rejeded.  We  now  proceed  to  multiply  by  the  1,  beginning  with 
the  3  above  it;  adding  the  tens,  however,  from  the  rejected 
figure  5,  saying,  Once  5  is  5,  which  is  e(|ual  to  .]  of  the  next 
higher  order — the  lowest  order  retained  in  the  answer.    Now, 


9  8  3,5 
57  8,1 '3 

2  9  5  0  5 

9  8  4 

7  8»> 

G9 

5 

$3  1  3.4  9 

36  ROPP'S    PAPTD    PvErivONER. 

in  this  system  of  cak-ulatioii,  ',  or  over  is  counted  a  vhol 
one,  and  what  is  under  is  disregarded;  thus  the  gain  and  loss 
will  he  efiiialized,  or  nearly  so.  For  this  reason  we  earr} 
from  the  i)roduct  of  the  nearest  rejected  ligui'e,  one,  when  il 
is  5  or  over;  tvo,  from  15  and  over ;  three,  from  25  and  over 
etc.  Hence,  we  say  once  3  is  8,  ajid  1  (from  the  rejected 
fig.  5)  makes  4,  which  we  set  under  the  right  hand  figure  (5; 
of  the  first  partial  j)roduct ;  multiplying  on  in  the  usual 
manner  we  ohtain  984  for  the  second  partial  product.  Wc 
now  mark  off'  the  1  and  3,  and  proceed  to  multii)ly  hy  the 
8,  saying,  8  times  3  (the  nearest  rejected  fig.)  are  24,  which 
gives  2  to  carry.  (The  units'  fig.,  4,  being  less  than  ^  of  the 
next  higher  order,  is  disregarded. )    Hence  we  {)roceed  :  8  times 

8  are  64,  and  2  (tens)  are  GG;  multiplying  on,  we  ohtain  78()  for 
the  tiiird  })artial  product.  AVe  next  mark  ofl"  the  two  8's,  and 
multiply  l)y  the  7,  saying,  7  times  8  (the  nearest  rejected 
fig.)  are  56,  which  gives  6  to  carry.  (The  units'  fig.,  G,  being 
over  h,  is  counted  1.)  Thus,  7  times  9  are  63,  and  6  (ten.s) 
make  69  for  tlie  fourth  partial  product. 

Arriving  at  the  last  figure  in  the  multiplier,  we  find  nQ 
figure  over  it  in  the  multiplicand  ;  we  therefore  merely  ob- 
tain the  tens  from  the  nearest  rejected  figure,  saying,  5  times 

9  are  45,  which  gives  5  to  carry.  We  set  it  in  the  right  hand 
column  of  the  partial  products  ;  in  the  following  exan)ples 
it  is  usually  added  to  the  product  of  the  preceding  figure. 

Adding  up  the  partial  products,  and  pointing  off"  two 
decimal  places,  the  result  is  $313.49, 

The  superiority  of  the  short  over  the  ordinary  method  of 
multiplication  will  he  more  clearly  illustrated  hy  the  fol- 
lowing example.  We  see  that  by  the  short  method,  all  deci- 
mals lower  than,  those  required  in  the  product  are  avoided, 
and  yet  the  answer  obtained  is  sufficiently  exact  for  all 
l)ractical    purposes. 

^[ultiply  8.4125  hy  7.6875,  retaining  only  two  decinnil 
jdaces  in  the  jiroduct. 

Ordinary  Method.  Short  Method. 

8.4  1  2  5  8.4  1  2  5 


0 

67 
504 
-       5888 
Ans.    6  4.6  7  10  9  3  7  5 

=-Sep  notes  on   next    page 


7.6  8  7  5  5  7  8  6.7 

4  2  0  6  2  5  5  8  8  9- 

8887  5  505 

3  0  0  0  6  7 

7  50  C 

'  5  Ans.    G  4.G  7 


KOPP  .S    KAi'lD    KECKONFK.  oi 

y.  We  write  tlie  sinaller  iiuniber,  in  rei-ersed  order,  lor  the 
ioiultiplier,  so  that  its  units  (7)  will  fall  under  the  2d  decimal 
place  of  the  multiplicand.  If  3  <leeimais  were  required  in 
:he  i)roduct,  we  would  write  the  units  under  the  od  decimal 
place;  if  4,  under  the  4th,  etc. 

NoTK.s.  — 1.  Occasiouiilly  the  answer  falls  sLort  by  omc.  This  di-rteieuey, 
jiowt'ver,  is  oltviati'fl  hy  curiyiiij?  the  tens  fium  the  second  rejected  tigure 
|:o  the  pro(hict  of  the  first,  or  nearest  rejected,  when  it  happens  to  be 
[learly  o,  ir»,  25,  35,  etc. 

•J.  in  the  preceding  example  we  :say  7  times  2  (the  nearest  rejected  fig.) 
ire  U,  which  would  give  1  to  carry,  but  by  adding  the  tens  from  5  (the 
\id  rejected  fig.)  to  the  14,  it  makes  18,  and  conseijnently  gives  two  to  carry. 


SHORT  .lIETHOI>  OF  DIYISIOX 


It  will  be  a  gi-eat  advantage  to  the  intelligent  student  to 
uiake  himself  familiar  with  the  following  scientitic  and 
practical  method  of  division.  It  is  simple  and  ea.sy,  and 
iocs  away  with  about  half  the  figures  required  by  the 
long  method,  and  in  combination  with  the  short  method 
Df  multiplication,  avoids  an  immense  amount  of  useless  and 
tedious  figuring  and  labor,  whicii  is  indispensable  in  the 
Drdinary  methods  of  calculation. 

Rl'LE. — Obtain  the  first  fi'jure  in  the  quotient  in  the  ordinunj 
manner. 

Multiplij  the  firxt  fifjnre  of  the  divisor  bi/  this  quotient  fiffure,  and 
'trite  such  a  figure  in  the  renminder  as,  added  to  this  product,  will 
jivc  an  amount  whose  unit  figure  U  the  same  as  the  right  hand 
figure  of  the  partial  dividend. 

Carry  the  ^tvw'  figure  of  the  amount  to  the  })rodiict  of  the  next 
figure  of  the  divi.-ior,  and  proceed  as  before  till  the  entire  remainder 
<.s  obtained. 

To  this  reniain-'Ier  bring  down  the  neii  figure  of  the  dividtmd. 
Main  the  second  quotient  figure  and  the  next  renuiinder  in  the 
;ani€  manner,  and  thus  proceed  till  the  operation  is  completed. 

Examples. — Find  the  average  weight  of  23  head  of  hogs 
weighing  5951  ll)s. 

ExPL.vxATiox. — The  first  figure   (.-..-,.  -n-i  ,o-o  u       * 
Df  the  quotient  being  2,  we  laSlti-      -"^^  ""^'^  '^2o8  lbs.  Ans. 
ply  the  divisor  by  it,   but  instead 
3f  setting  down  the  product   (4(3) 
ind  subtracting  it  from  the  partial 
dividend  (59),  we  simply  write  down  (for  the  remainder) 


135 

201 
17  Remainde 


38  ROPP's    KAPID    RECKONER. 

such  figures  as  are  wantimj,  to  make  the  figures  of  the 
product  equal  to  the  corresponding  figures  of  the  partial 
dividenil. 

Thus,  we  say,  2  times  3  are  0,  and  three — which  is  wanting 
to  make  9,  the  corresponding  figure  in  the  j)artial  dividend — 
we  write  in  the  remainder ;  2  limes  2  are  4,  and  one  (written 
in  the  rem.)  makes  5.  To  tlie  whole  renuiinder,  13,  we  bring 
down  the  next  figure  in  the  dividend  (5),  making  135.  We 
then  proceed  :  23  in  135  is  contained  5  times;  5  times  3  are 
15;  here  we  write  a  0  in  tlie  remainder,  since  tlie  unit  figure 
of  tlie  product  and  tlie  right  liand  figure  of  the  partial 
dividend  are  equal ;  5  times  2  are  10,  and  1  (ten)  from  15, 
are  11,  and  tvo  (written  in  the  rem.)  are  13.  To  tlie  re- 
mainder, 20,  we  annex  tlie  1,  making  201.  23  in  201,  8 
times  ;  8  times  3  are  24,  and  seven  (written  in  the  rem.)  make 
31  (a  number  whose  unit  figure  is  eciual  to  the  right  hand 
figure  of  the  partial  dividend) ;  8  times  2  are  10,  and  3  (tens) 
from  31,  are  19,  and  one  (written  in  the  rem.)  makes  20. 
Final  remainder,  17. 

Find  the  number  of  Bushels  in  a  car  load  of  Corn  weigh- 
ing 20580  lbs. 

We  say  56  in  205,  3  times;  3   f  r-^s  oa-oa  /o/>-i  i        v 
..         /?         TO        1  ,      -4^1  50)  2O08O  (30/ .>  bu.  Ans. 

times  6  are  18,  and  .sere??,  (written  '    0-0 

in  the  rem.)  make  25  ;  3  times  5  -j  '  1.^^ 

and    2   (tens)   are    17,  and    three  \  X^.   P        2ft_i 

(written  in  the   rem.)  make  20.    [  "^^  ^^'»-  5^  —  2- 

To  the  whole  remainder  37,  we  bring  down  the  8,  making 

378.     56  in  378,  6  times;  6  times  6  are  36,  and  /?ro,  make  38; 

0  times  5  and  3  (tens)  are  33,  and  four,  make  37.     To  the 

remainder  42,  we  annex  the  0;  50  in  420,  7  times;  7  times  0 

are  42,  and  eujht,  make  50;  7  times  5  and  0  (tens)  are  40,  and 

two,  make  42.     Final  remainder,  28 — which  equals  \  bu. 

1728  cubic  inches  make  a  cubic  foot:  how  many  cu.  ft. 
in  233280  cu.  in.? 

1728  in  2332,  1  time  J"  .^^^  233280  (135  cu.  ft.  Ans. 
and  004  over;  in  6048,  3    !  '    ,.^.,0     ^ 


1    CUM  •     -.  6048 

times,  and   804  over;    in  S('40 

H040,  5  times — no  rem 


•■1 


When  the  divisor  is  a  mixed  number,  vrite  the  fraction 
decimally,  ami  annex  ciphers  to  the  dividend,  fill  it  has  as  many 
decimal  places  as  the  divisor;  then  proceed  as  in  whole  numbers. 


how  many  bbls.  in  2394  gals.  ?  \  189  0 


M 


KOPP'S    RAPID    RECKONER.  39 

If  there  is  a  remainder  after  the  figures  of  the  dividend 
are  exhausted,  urile  a  decimal  point  in  the  quotient,  annex 
ciphers  to  the  remainder.%  and  carry  the  divmon  on  to  two  or  more 
decinud  places. 

9ta  ..,   ft     f  ,  oc  .  .,.   f  24.75)  12583.00  (508.40  +  p.  Ans. 
241  cu.  ft  of  masonry  '      208  00 

mukea  perch  :  liow  manv  -{  ,,,  r.r.n 


perches  in  12583  cu.  ft. 


3051  days  make  one 
vear:  liow  many  vears  in 
5918  days? 


10  000 
1000 

JG5.25)  5918.00  (16.2  +  yrs.  Ans. 
2265  50 
74  000 
950 


Wlien  there  are  ciphers  on  tlie  right  of  the  divisor,  see 
first  example  on  page  33. 

2000  lbs.  make  a  ton  :  ]^o^v  many  f  ^  211500 

tons  in  a  car  load  oi  coal  weighings  '  — 

21500  lbs.  (.  10.75  tons.  Ans. 

f  8  3 

160  square  rods  make  an  acre :   |  — ~ 

how  many  acres  in  a  field  83  -j  1610)  oy7j6  (3/.35  A.  Ans. 
rods  long,  and  72  rods  wide?  11^ 

56 
I  80 


Having  to  some  extent  illustrated  the  principles  involved 
in  abbreviated  multiplication  and  division,  we  will  now  pre- 
sent a  series  of  special  rules,  or  methods,  based  on  these 
principles,  for  calculating  the  value  of  all  kinds  of  Grain, 
Stock,  Hay,  Coal,  Lumber,  Merchandise,  and  particularly 
for  computing  Interest,  and  other  problems  in  Percentage; 
also  methods  for  ascertaining  the  capacity  of  (iranaries,  Corn 
Cribs,  Cisterns;  for  finding  the  contents  of  Lumber,  Land, 
etc. — all  of  which  are  specially  adapted  to  the  use  of  Farmers 
and  Business  men. 

A  comparison  of  these  methods  witii  those  in  general  use, 
will  readily  co!ivince  any  one  of  their  simplicity,  brevity, 
and  practical  superiority — results  being  usually  (»btained 
witJi  about  one-third  the  figures  and  mental  labor  reipiired 
by  the  ordinary  methods  ;  and,  besides,  the  tedious  and  much 
dreaded  operations  in  fractions  are  easily  and  successfully 
surmounted. 

"See  '•  Siiiuiltiiriei.us  Multiplicatiuu,"  page  75, 


10  1U)PP'S    RAPIK    RLCKONER. 

OKAIX,  HAY,  COAL,,  ET€. 


A  .'iiinple,  sliort,  and  practical  niothod  for  finding  the  ac- 
curate value  of  articles  sold  by  the  bui^hti  or  ton,  without  in- 
volving fractions,  even  if  the  given  terms  are  mixed  numbers. 

KULK. —  Write  the  nuvtbcr  of  lbs.  to  the  bmhel  or  ton,  for  the 
Jird  term,  the  price  for  the  second,  and  the  nei(jht  for  the  third. 
Write  common  fractions  decimally. 

Divide  the  second  term  by  the  first,  a)id  set  the  quotient,  in 
REVERSED  order,  under  the  third  term. 

Multiply  (by  short  method)  the  third  term  by  this  quotient, 
point  off  i (CO  places  from  the  riyJd  of  the  product,  and  the  result  uill 
be  the  answer  in  dollars  and  cents. 

Note. — After  tlie  terms  are  stated,  ctmiiiare  the  second  term  with  tli<' 
first:  if  it  is  e<nial  to,  or  j!,reiiter  than  the  tirst  term,  tlio  first  (luotient 
fi};iue  must  fall  under  tlie  units' place  of  the  third  term;  if  smaller,  or,  in 
other  words,  if  the  price  is  less  tlian  a  cent  pn-  lb.,  the  first  quotient  figure 
must  fall  under  the  tens'  place  of  the  third  term. 

Grain. 

Examples. — Find  the  value  of  a  load  of  Wheat  weigh- 
ing 2967  lbs.,  at  S1.29|  per  bu. 


Lljs.  l«.  bu. 

I'rirc  per  bu.        \Vpi,!jht. 

610 

1.29-75            2t>6l7 
5  2:(),]|2- 

6  9.84  val. 

at  2dol.  ]»ei 

2.9  7    " 

"  1  dime" 

1.7  8   '' 
()   " 

"  6  cts.     " 
"  2  mi  lis" 

1    " 

U      1         <(         '< 

Ans.  $6  4716 

Having  compared  the  1st  and  2d  terms,  and  ascertained 
that  the  price  is  over  a  cent  per  lb.,  we  cut  oft"  the  0  in  the 
1st  term  and  say,  6  in  12,  2  times,  which  we  .set  under  tlie 
units  (7)  of  the'third  term  ;  then  proceed:  6  in  9,  1  time,  8 
over;  in  37,  6  times,  1  over;  in  15,  2  times,  3  over  (assume 
a  0  joined  to  the  3) ;  in  30,  5  times,  which  brings  the  quotient 
(nuiltiplier)  one  place  to  the  left  of  the  3d  term  (multipli- 
cand).   See  note  1,  page  5. 

We  now  multiply  (by  short  method)  the  3d  term  by  this 

=:-The  quotient,  r>2rA2,  is  tlie  value  per  lb.  or  100  Ihs.,  in  reversed  order, 
at  the  rate  of  $l.'J<J%  per  bu.  or  00  lbs.  Tlie  actual  price  per  cwt.  ia 
«2.1625,  or52.16i4. 


ROPP'S   RAPID    RECKONER. 


41 


quotient,  point  off  two  figures  from  the  right  of  the  product, 
and  the  result  is  the  answer,  correct  within  a  fractional  part 
of  a  cent. 

Find  the  cost  of  2435  lbs.  of  Corn  (in  the  ear),  at  28  cts. 
per  bu.  of  70  lbs. 


ro 


28        2  4  3  5 
40 


Ans.  $9.7  4 


Here  we  say  70  in  28,  no  time,  and 
write  a  0  in  the  quotient,  then  cut  off 
the  0  in  the  divisor  and  proceed ;  7  in 
28,  4  times,  which  terminates  the 
division.     We  then  multiply  and  point  off  as  before. 

Find  the  value  of  a  car  load  of  Corn  (shelled),  at  45|  cts. 
per  bu.     Weight  21655  lbs. 


f56 


.45-375 
57 
150 
380 
Rem.  44 


216  5  5 
620180 


324 

217 

5 


Here  we  say  56  in  45,  no 
time,  write  a  0  in  the  quotient, 
then  proceed :  56  in  453,  8 
times ;  8  times  6  are  48,  and 
five  (written  in  the  rem.) 
make  53;  8  times  5  and  5 
(tens)  are  45  (no  rem.).  We  i 
now  bring  down  the  7  and  say 
bring  down  the  5;  56  in  15, 
quotient,  annex  a  0  to  the  15 
6  are  12,  and  eight  (written  in  the  rem.)  make  20;  2  times 
5  and  2  (tens)  are  12,  and  three  (written  in  the  rem.)  make 
15.  To  the  rem.,  38,  annex  a  0 ;  56  in  380,  6  times,  which 
is  the  last  figure  required  in  the  quotient. 

The  equivalent  decimal  of  %  is  .375.    See  and  study  the  table  on  page  28. 


Ans.  $1  7  5.4  6 
1  time  and  1  over; 


56  in  57, 

no  time,    write  a   0  in 

56  in  150,  2  times;  2  times 


the 


Wiiat  will  8960  lbs.  of  Barley  cost,  at  98i  cts.  per  bu.  ? 

r48 


Say  48  in  98,  2  times,  2 
over ;  in  25,  no  time ;  in  250, 
5  times,  10  over;  in  100,  2 
times,  4  over  ;  in  40,  no  time. 


How  much  will  3125  lbs. 
of  Oats  cost,  at  34  cts.  per  bu. 
of  32  lbs.? 


I 
I 
I 

[32 


2  50 


100 
40 


.34 

200 
80 
160 


8960 
0  2  5  0  2 


920 

448 

18 


Ans.  SI  8  3.8  6 


3  12  5 

5  2  6  01 

3  125 

187 

8 

Ans.  $3  3.2  0 


42 


ROPP'S    RAPID    RECKONER. 


Hay,  Coal,  Etc, 


Find  the  value  of  a  load  of  Hay  weighing  1765  lb?.,  at 
$13.75  per  ton. 


Find  the  co.'^t  of  3270  lbs. 
of  Coal,  at  $4.60  per  ton. 

2000  in  460,  no  time ;  2  in 
4,  2  times ;  2  in  6,  3  times. 


Here  we  say  2000  in  1375, 
no  time,  write  a  0  in  the 
quotient,  then  cut  off  the 
ciphers  in  the  divisor  and 
proceed:  2  in  13,  6  times,  1 
over;  in  17,  8  times,  1  over; 
in  15,  7  times,  1  over;  in  10,  [ 
5  times. 


f2!000 


f2]000 


13.75 


1765 

57860 

1059 

141 

13 

Ans.  $1  2.1  3 


4.60 


3270 
320 
654 

98 
Ans.  $7.5  2 


Find  the  value  of  a  lot  of 
Straw  weighing  9350  lbs.,  at  - 
$1.75  per  ton. 


21000 


1.75 


9350 
57800 

748 
70 


Ans.  $8.1  8 


Note.— "When  the  price  is  less  than  82  per  ton,  or  a  niill/iier  lb.,  the  first 
quotient  figure  must  fall  under  th'e  hundredths'  place  of  the  multiplicand. 


STOCK,  I.U]?IB1:R,  UKRCHAlVDISi:, 
ETC. 


An  easy,  rapid,  and  simple  method  for  finding  the  value 
of  articles  sold  by  the  unit,  hundred,  or  thousand,  when  one 
or  both  terms  contain  common  or  decimal  fractions. 

Rule. —  Write  one  of  the  terms,  in  reversed  order,  for  the 
multiplier,  so  that  the  imifs  of  the  one,  and  the  hundredths  or  cents^ 
order  (at  the  price  per  unit)  of  the  other,  will  fall  in  the  same 
column. 

Multiply  (by  short  method)  and  point  off  tivo  figures — theresult 
will  be  dollars  and  cents,  or  units  and  hundredths. 

Notes. — 1.  Although  immaterial,  it  is  usually  most  convenient  to  use  the 
cost  or  price  for  the  multiprier. 

2.  When  the  multiplier  extends  to  the  right  of  the  multiplicand,  assume 
or  annex  ciphers  to  the  latter. 


ROPP  S    RAPID    RErKONER. 


43 


Examples. 
$4.67j  per  cwt. 

$4  per  100  is  4  cts. 
per  unit ;  hence  the 
4  must  fall  under  the 
units  (5)  in  the  mul- 
tiplicand, and  the 
other  figures,  in  re- 
versed order,  to  the 
left  of  it. 


Stock. 

Find    the   value   of    1385  lbs.   of  Pork,  at 


138  5 
5  7  6-4 
5  5.4  0  value  at  4  del.  per  cwt. 


8.3  1 
.9  7 

7 


Ans.  $6  4.7  5 


Find  the  value  of  a  lot  of  fat  Hogs  weigh- 
ing 8569  lbs.,  at  $6.43|  per  cwt. 


6  dimes' 

7  cts. 

5  mills 


o  / 
51 


56  9 
3  4-6 


414 

428 

25  7 

64 


Ans.  $5  5  1.6  3 


What  is  the  value  of  a  Cow  weighing  972 
lbs.,  at  5f  cts.  per  lb.  ? 


972 

5  7-5 

4'8T0 

680 

49 

Ans.  S5  5.8  9 


Lumber. 


Find  the  cost  of  a  car  load  of  Lumber, 
4565  ft.,  at  $21.62^  per  thousand. 

S20  per  1000  is  S2  per  100,  or  2  cts.  per 
unit ;  hence  the  2  must  fall  under  the  units. 


45  6  5 

5  2  6  1-2 

9130 

457 

274 

1^1 

Ans.  §9  8.7  2 


Find  the  cost  of  683  ft.  of  common  Lumber,  j 
at  $16.50  per  thousand. 


683 
5  6-1 
68  3 
41  0 
34 


Ans.  SI  1.2  7 


44 


ROPP  S    RAPID    RECKONER. 

r 


Find  the  cost  of  7750  Shingles,  at  $4.87J 
per  1000. 

$4  i)er  1000  is  40  cts.  per  100,  or  4  mills  - 
per  unit.   The  order  of  milh  must  fall  under 
the  tena. 

Freight. 

Find  the  Freight  on  a  car  load  of  Grain 
weighing  19875  fijs.,  at  343  <^ts.  per  cwt. 

30  cts.  per  100  is  3  mills  per  unit. 


Find  the  Freight  on  a  car  load  of  Lum- 
ber, 5680  ft.,  at  S4.75  per  1000. 

$4  per  1000  is  4  mills  per  unit. 


7750 

5784 

3100 

620 

58 

Ans.  $3  7.7  8 

19  8  7  5 

54  3 
'6  963' 
795 
99 


Ans.  5)56  8.5  7 

5680 
574 


2  27  2 

398 

28 


[  Ans.  $2  6.9  8 

Merchandise. 

Find  the  cost  of  15  lbs.  and  5  oz.  of  Butter,  at  18]  cts.  per  lb 

5  oz.  or  y\  of  a  lb.  is  .31  +  ,  decimallv.   f 
(See  table,  page  28.)  * 

18  cts.  is  1  dime  and  8  cts. ;  hence  the  8  | 
must  fall  under  the  units.  (5.)  -{ 

Be  careful  to  get  the  cents^  order  or  hun-   | 
dredths^  place  of  one  term,  and  the  itnilts  of  the 
other,  under  each  other. 


15.31 
I  5  7-81 

I  153 

^  12  2 

12 
[  Ans.  S2.8  7 


Find  the  cost  of  17^  doz.  of  Eggs,  at  12o  cts. 
l»er  doz. 

The  7  occupies  the  units'  place  in  the  one 
term  ;  2,  the  cents'  place  in  the  other. 


17.5 

5-21 

17'5 

3  5 

Ans.  S2.1  li 


Find  the  cost  of  37!f  yds.  of  Muslin,  at 
9|  cts.  per  yard. 

-'See  uoti'S,  page  :'>7. 


O    4.1 

5  7-9 
3  4  0- 
28 
Ans.  $3.6  8 


ROPP'S    RAPID    RErKONER. 


Find  the  value  of  a  sack  of  Coffee  weigh- 
ing 216h  lbs.,  at  23f  cts.  per  lb.  J 


I  is  .625  decimally.     (See  table,  p.  28.) 


2  1  6.5 

5  2  6-3  2 

4330 

650 

130 

5 


(^  Ans.  S5  1.1  5 


Find  the  cost  of  48  lbs.  of  Sugar,  at  13^  cts.   f 
per  lb.  I 

In  this  and  the  next  example,  reverse,  and  'j  o  o  0 

write  the  quantity  for  the  multiplier,  setting   I  ^  ^  ^ 

the  units  under  the  cents'  order.  (^  Ans.  $0.6  0 


1  3-7  5 

84 


Find   the  cost   of  3j  yds.  of  Cloth,  at 
)1.16j  per  yd. 

^  is  .66  — ,  decimally.  (See  table,  p.  28.) 


Sl.l  6-6  6 
5.3 
3  50 
5  8 


[  Ans.  S4.0  8 


Find  the  value  of  26j  bu.  of  Potatoes,  at 
Si. 05  per  bu. 

When    the    multiplier    extends    to    the 
right,  annex  a  0  to  the  multiplicand. 


2  6.5  0 

5  0.1 

2  6  5  0 

133 

[    Ans.   $2  7.8  3 

Note. — When  the  answer  is  required  correct  to  lower  denominations, 
irrite  the  multiplier  further  to  the  right,  and  point  off  from  the  product  n»  many 
more  places,  as  will  be  illustrated"in  the  following'exaniples. 


r  8.5  8.5 

1    I  5-6  5-6 


Find  the   cost  of  8_  

lbs.  of  Nails,  at  6i  cts.  ^   Ans.  5  5  cts 
per  lb. 


Find  the  cost  of  f 
34  lbs.  and  13  oz.  of  I 
Feathers,  at  41f  cts.  I 
per  lb. 

H  is  .81  +,  deci- 
raallv.  (See  table, 
p.  28.) 

'"See  notes,  page  M7. 


3  4.81 
6  6-14 


o 

5^ 

510 

4  3 

Ans.  5  5  3  mills. 

3  4.81 
6  6  6-14 


139  2 

1  3  9  2  4 

3  5 

348 

2  3* 

209 

Ans.  SI  4.5  0 

2  3- 

Ans.  SI  4.5  0  4 


46  HOrP's    RAPID    RECKONER. 


Per  cent,  means  on  or  by  the  hundred.  Thus  1  per  cent., 
denotes  1  out  of  a  hundreil,  or  1  hundredth;  5  per  cent,  of  a 
number  means  5  hundredths  of  it. 

The  character  %,  is  usually  written  instead  of  the  word 
per  cent. 

r  $10  0  =  the  Base. 

How    much   IS   6    %    of  I  6"    "    Rate  %. 

^^^^  •  1   Ans.  $6^  "    "    Percentage. 

The  student  should  be  careful  to  discriminate  between 
percentage  and  product.  The  percentage  is  always  the 
hundredth  part  of  the  product.  Thus,  6  times  $100  are  $600, 
while  6  per  cent,  of  $100  is  $6. 

Hence  to  find  the  percentage  on  any  number; 

Multiply  the  given  number  or  b(ise,  by  the  rate  per  cent.,  and  from 
the  product  point  off  tuo  more  decimal  places  than  there  are  decimal 
places  in  the  multiplicand ;  that  is,  divide  the  product  by  100. 


Examples. — Bought  a   lot  of  Hogs   for  I  $2  8  5 


10 


$285,  and  sold   them  at  10  %   profit:   how 

much  did  I  gain  by  the  transaction  ?  j   Ans.  $2  8.5  0 


A  merchant  who  failed  in  business,  was 
able  to  pay  37  cts.  on  the  dollar,  or  37  %  : 
what  did  A  receive,  who  was  a  creditor 
to  the  amount  of  $2345  ? 


$2345 

37 

16415 
7035 
Ans.   $8  6  7.6  5 


"What  is  the  commission,  for  selling  $542 
worth  of  property  at  Ih  %  ? 


$5  4  2 

U 

542 

271 

Ans.   $8.1  3 


The  following  is  a  short  method  for  finding  the  percent- 
age when  the  given  rate  is  a  mixed  number. 

Rule. —  Winte  the  fraction  decimally;  revei'se  and  write  the 
units  of  the  rate  %  under  the  units,  or  dollars^  place  of  the  base, 
Qj'  vice  versa. 

Mvdtiply  (by  short  method)  and  point  off  two  decimal  places. 


ROPP  S    RAPID    RECKONER. 


47 


I  insured  my  house  for  $965,  at  2f  %  .   . 
what  was  the  premium  ? 


$9  6  5 
5  7-2 

1930 
676 

48 

Ans.  $2  6.5  4 


What  will  be  the   commission   for 
selling  goods  to  the  amount  of  $6439.75,  -{ 
at  3|  %  ? 


$6  4  3  9.7 
5  7-3 

5 

19319 
45  0  8* 
322 

Ans.    $2  41.4 


A  Railroad  Company  declares  a  divi- 
dend '^f  13|  %  :  what  will  A  receive,  who 
owns  $3500  worth  of  stock  ? 


13.6  2  5 
00  5  3 

4  0  8  7  5 
6813 


I   Ans.  $4  7  6.8  8 


The  principal   application   of  Percentage  is  computing 
Interest,  in  which  the  element  of  Time  is  involved. 


COMPUTIXO    TI^E, 


To  find  the  time  between  two  dates,  in  years,  months,  and 
days :  Set  the  earlier  date  under  the  later,  and  subtract.  Write 
the  numbers  of  the  months  instead  of  their  names. 


Examples. — Find    the    time    from   ! 
Jan.  6  to  Sept.  18.  j 


Mo. 
9 

1 

Ans.  8 


18 
_6 
12  da. 


We  set  down  9  and  18  for  Sept.  18th,  it  being  the  9th 
month ;  under  this  we  write  the  earlier  date,  1  and  6  for 
Jan.  6th,  and  then  subtract. 

Find  the  time  from  Oct.  20,  1871,  to  April  15,  1873. 
"See  notes,  page  37. 


48  llOPP's    RAPID    RECKONER. 

April  is  the  4tli  month,  f        .Years.  Months.  Days. 

Oct.  is  the  10th.     We  can  ^873  4  j^ 

not  take  20  da.  from  15 -j  ig7i  jq  20 

da.;  we  therefore  conceive       .     r         -=  — ^r;^   , 

80da.(l  mo.)  added  to  the  [  ^"'-     ^  ^''         ^  »"^-  ^o  (/a. 

15  da.,  making  45;  then  say  20  from  45  leaves  25. 

Again,  we  can  not  subtract  10  mo.  from  3  mo,  (1  having 
been  reduced  to  da.);  hence  we  imagine  12  mo.  (1  yr.)  added 
to  the  3  mo.,  and  say  10  from  15  leaves  5.  Finally  we  say, 
1  year  from  2  years  (1  having  been  reduced  to  mo.)  leaves 
1  year. 


INTEREST. 


Interest  is  a  percentage  paid  for  the  use  of  money. 
Principal  is  the  sum  for  the  use  of  which  int.  is  paid. 
Hate  per  cent,  is  the  sum  paid  on  the  hundred. 
Per  annum  means  by  the  year. 
Amount  is  the  interest  and  principal  added  together. 

An  easy,  short,  and  simple  method  for  finding  the  interest 
on  any  sum,  for  any  time,  at  any  rate  per  cent. 

Rule. —  Write  the  whole  number  of  months,  mth  the  order  of  ita 
figures  reversed,  so  that  its  units  will  fall  under  the  trnV/.s,  or 
dolUirs''  place  of  the  principal. 

Divide  the  number  of  days  by  3,  and  icrite  the  quotient,  in 
REVERSED  Order,  to  the  left  of  the  months. 

Multiply  (by  short  method)  and  point  off  two  places  from  the 
product — the  residt  vill  be  the  interest  at  12  per  cent. 

To  obtain  the  interest  at  other  rates  by  this  method,  first 
find  it  at  12  per  cent ;  then, 

For  10  % ,  divide  it  by  6  and  subtract  the  quotient  from  the  dividend. 

a         q   <(         (I        u    ((    A    <(  u  (I  ((  «       (<  (( 


8  " 

« 

« 

Cl 

3 

6  " 

(( 

(< 

« 

2 

4  " 

« 

(( 

(( 

3 

To  find  it  at  any  other  rate,  divide  by  12,  which  gives  the 
interest  at  I  fc,  then  multiply  this  quotient  by  the  (jiven  rote. 


ROPP  S    RAPID    RECKONER. 


49 


7  43  5 

248 
99 

S^ 

Ans.   $7  7.9  0 


Examples. — Find  the  interest  of  $247.83  for  2  years  7 
months  and  13  days,  at  12  fo. 

2  years    and   7    mo.    are    31  mo.     We   f  $2  4  7.8  3 

reverse  this  number,  and  write  it  so  that  3  3  4-13 

its  unit  figure  (1)  will  fall  under  the  units 
(7),  and  the  3  under  the  tenths  (8)  of  the 
principal.  We  then  say,  3  in  13  (the 
number  of  days)  4  times,  1  over;  we  write 
the  4  under  the  principal,  to  the  left  of 
the  months,  and  conceiving  a  0  added  to  L 
the  1  (rem.)  we  proceed  3  in  10,  3  times,  which  we  set  to  the 
left  of  the  4;  and  thus  we  continue  the  division  till  the 
multiplier  extends  one  place  to  the  left  of  the  multiplicand. 

We  then  multiply  (by  short  method)  and  point  off  two 
figures  from  the  product,  and  the  result  is  the  int.  at  12  %. 

Find  the  interest  of  $86.50  for  5  mo.  and  23  da.,  at  6  %. 

We  set  the  5  mo.  under  the 
units,  or  dollars'  place  (6), 
then  say  3  in  23,  7  times,  2 
over ;  in  20,  6  times. 


$8  6.5  0 
6  7-5 
4  33 
6  5 


To  obtain  the  int.  at  6 
divkk  the  int.,  at  \2  %  by  2. 


2)4.9  8 
[  Ans.  $2.4  9 


int.  at  12  %  ■ 

U         U         Q     U 


Find  the  int.  of  $165  for 
1  yr.  4  mo.  12  da.,  at  6  % . 

1  yr.  and  4  mo.  are  16  mo.  - 
Reverse,  and  write  the  6  un- 
der the  units  (5),  then  say  3 
in  12,  4  times. 


Find  the  int.  of  $357  for 
3  yrs.  7  mo.  and  21  da.,  at 
10%. 

3  yrs.  and  7  mo.  are  43  mo. 
Reverse,  and  write  so  that  the 
3  (units)  will  fall  under  the 
7  (units)  ;  then  say  3  in  21, 
7  times. 


Ans.    $13.5  3 

$3  5  7.0  0 
7-3  4 


14280 

1071 

25  0 

6)  15  6.0  1 
2  6.0  0 

Ans.  SI  3  0.0  1 


int.  at  12  %. 

"     "     6  " 


at  12  %. 
u     2  " 

"  10  " 


To  obtain  the  interest  at  10  %,  divic 
by  6 — the  quotient  will  be  the  interest  at  "'  ''■■ 
12  fo  leaves  10  %. 


'vide  the  interesit  at  12  % 
which  deducted  from 


/ti 


50 


KOPP  S    RAPID    RECKONER. 


Find  the  interest  of 
$617.50  for  26  days,  at  10  % . 

There  being  no  months 
here,  we  write  a  0  under 
the  units,  then  say  3  in  26, 
8  times,  2  over;  in  20,  6 
times,  etc. 

Find  the  interest  of  $200 
for  4  months  2  days,  at  8  % . 

Set  the  4  months  under 
the  units,  then  say  3  in  2, 
no  time;  write  a  0  next  to 
tlie  4,  and  proceed  :  3  in  20, 
6  times,  2  over,   etc. 


$6  1  7.5  0 
6  6  8-0 
494 
41 


6)5.3  5 

.8  9 


int. 


Ans.  $4.4  6 


8.0  0 
.13 


3)8.13 
2.7  1 


[_    Ans.    $5.4  2 


at  12 
"  2 
"   10 


$2  0  0.0  0 
6  6  0-4 


int.  for  4  mo. 
"  **  2  da. 
"    at  12  %. 

u      a       ^   u 
a      a       g   a 


To  obtain  the  interest  at  8  %,  divide  the  interest  at  12  %  by 
3 — the  quotient  wiU  he  the  interest  at  4  fc,  ichich  deducted  from  12 
% ,  leaves  8  % . 


r            $9  0.0  0 

Find  the  interest  of  $90  for 
10  months  12  days,  at  7  %. 

4-01 

9.0  0     int.  for  10  mo. 
.8  6       ''      "    12  da. 

Set  the  0  of  the  10  (mo.) 
under  the  units,  then  say  3 
in  12,  4  times. 

12)9.3  6       "     at  12  %. 
.7  8       "      "     1    " 

7 

Ans.  $5.4  6 


%,  divide  the  interest  at  12  fc  by 


To  obtain  the  interest  at 
12 — the  quotient  will  be  the  interest  at  \  %,  which  multiplied  by  7, 
gives  it  at  7  fc. 

Note. — The  lowest  figure  will  not  always  be  correct  ;  to  obviate  this, 
first  multiply  the  interest  at  12  per  cent,  by  7,  then  divide  by  12. 

Find  the  amount  of  $58.75  ''  $5  8.7  5 

for  1  vear  8  months  19  days, 
at  10  %. 


1  year  and  8  months  are 
20  months.  Set  the  0  under 
the  units,  then  say  3  in  19, 
6  times,  1  over;  in  10,  3 
times. 


3  6-0  2 

1175 
37 

6) 

12.12 
2.0  2 

10.10 

5  8.7  5 

[  Ans.    $6  8.8  5 
To  obtain  the  amount,  add  the  'principal  to  the  interest 


int.  at  12  %. 

U  U     2Q     U 

Princijxd. 
Amount. 


ROPP'S    RAPID    RECKONER.  51 

To  find  the  interest  of  $10,  $100,  $1000,  etc.,  for  any  time 
at  12  %,  set  down  the  whole  number  of  months  and  annex  ^  of 
the  days;  then  place  the  decimal  point  correctly.     Tlius, 

The  int.  of      1  dol.  for  1  yr.  4mo.  25da.,  at  12  %,is        .16  833 


10    "      ''      "        "         "      "     "      "     $1.68 
100   "      "      "        "         "      "     "      "   S16.83 
1000    "      "      "        "         "      "     "      "$168.33 


33 


It  is  evident  that  the  interest  of  $30  is  3  times  that  of 
$10;  of  $400,  4  times  that  of  SlOO,  etc.,  for  the  same  time 
and  rate.  Thus,  in  the  above  illustration,  t^e  interest  of 
$100  is  $16.83J;  hence,  for  $300,  it  would  evidently  be 
3  times  $16.83J  :^  $50.50. 

Interest— Accurate  Method. 

The  preceding  method,  and  nearly  all  others  in  general 
use,  do  not  give  the  interest  strictly  correct  for  the  months 
and  days;  30  days  being  considered  a  month,  and,  conse- 
quently, 360  days  a  year,  and  interest  reckoned  accordingly 
for  a  fractional  part  of  a  vear,  is  usuallv  found  too  large. 

The  true  interest  of  $1200,  at  10  %,  for  31  davs,  is  S10.19; 
for  30  days,  S9.86;  and  for  28  days,  $9.20;  while  by  the 
ordinary  methods  it  would  be  just  $10  a  month,  whether  it 
consisted  of  28,  29,  30,  or  31  days. 

This  false  principle  of  computing  interest  (for  months  and 
days)  on  the  basis  of  360  days  to  the  year,  instead  of  365, 
has  Ijecome  customary  in  the  United  States — the  State  of 
New  York  excepted— /o/-  convenience'  sake  only  ;  it  being  con- 
siderably easier  to  calculate  by  this  than  by  the  true  basis. 

We  will  now  present  a  method  for  finding  the  accurate  in- 
terest on  any  sum,  for  any  time,  at  any  rate  per  cent.,  which 
we  claim  to  be  entirely  original,  and  unequaled  for  sim- 
plicity and  brevity. 

Rule. — Find  the  time  in  years  and  days,  multiply  the  number 
of  days  by  472  (by  short  method),  and  to  the  product  prefix  the 
years,  if  any. 

Reverse,  and  write  this  number  tcith  its  cents'  order  under  the 
units,  or  dollars'  place  of  the  principal. 

Midtiply  again  (by  short  method),  arid  point  off  two  decimal 
places  from  the  product — the  result  will  be  the  accurate  interest  at 
10  per  cent. 

To  find  the  interest  at  any  other  rate  %  by  this  method, 
midtiply  the  interest  at  10  %  by  the  ffiven  rate,  and  point  q/f  three 
places  from  the  last  product. 


52 


ROPP'S    RAPID    RECKONER. 


Notes.— 1.  Memorize  the  number  472;  this  is  the  interest  of  $1  for 
1  day  at  10  per  cent.,  with  the  order  of  its  figures  reversed  and  the 
ciphers  omitted;  the  real  number  being  §.00-0274,  or  more  accurately, 
S.OO-0273?t72G  +  . 

2.  When  the  first  product  (the  number  of  days  multiplied  by  472)  con- 
tains less  than  three  places,  pre^^r  ciphers  to  supply  the  deficiency.  This, 
liowever,  happens  only  when  the  number  of  days  is  less  than  37. 

3.  When  the  principal  is  large,  and  great  accuracy  required,  annex  a  0 
to  the  number  of  days,  and  proceed  as  usual — the  product  must  then 
contain  four  places. 

The  exact  number  of  days  from  one  date  to  another  is 
readily  found  by  the  Time  Table  on  page  24;  or  by  the  fol- 
lowing method. 

Find  the  true  number  of  days  from  January  10  to  May  15. 

(In  Jan.  21  da. 

I    "  Feb.  28   " 

After  the  10th  there  are  21  days  in  Jan.,  |    «   '^lar.  31    " 

which,  with  the  15  in  May,  added  to  the  ■{    «  Apr.  30   " 

days  in  the  intervening  months,  gives  the      «   j^jay  15   " 

exact  number.  Ans.  125   " 

Example?;. — Find  the  accurate  interest  of  $354.56,  at  10  %, 
from  March  11  to  December  24  =  288  days. 


We  first  multiply  the 
number  of  days  (288)  by 
472;  the  product  (789)  is 
the  interest  of  SI  for  288  -{ 
days,  at  10  5^,  namely,  7 
cts.,  8.9  mills.     Now  it  is  | 
evident  that  of  S354,  the   L 
interest  is  354  times  that  of  SI, 


$35  4.5  0 


2482 

283 

32 


288  da. 

472 

576 

202 

11 

^T^'g 

Ans.  $2  7.9  7 

"We  therefore  write  the 
interest  of  SI  in  reversed  order  under  the  principal,  so  that 
its  left  hand  figure  or  cents^  order  (7)  will  fall  under  the  units, 
or  dollars^  place  (4). 

We  then  multiply  again  (by  short  method),  jioint  ofi'  two 
decimal  places,  and  the  result  is  the  accurate  interest  at 
10%. 

Find  the  true  interest  of  S75  at  10  %,  from  June  1,  1872, 
to  July  5,  1873  =  1  year  and  34  days. 


Here  the  first  prod- 
uct contains  only  two 
places  —  9.3  mills; 
hence  we  must  write 
a  0  in  the  cents'  place. 


$7  5.0  0 
3  9-01 


Ans.  $8.2  0 


1  0-9  3 


ROPP  S    RAPID    RECKONER. 


53 


Now  the  interest  of  $1  for  1  year  at  10  %  is  just  1  dime; 
we  therefore  prefix  1  (or  whatever  the  number  of  years 
may  be)  to  the  interest  for  the  days,  and  the  result  is  the 
interest  of  $1  for  the  entire  time.  We  now  reverse  this  num- 
ber and  set  it  under  the  principal,  being  careful  to  get  the 
cents'  order,  under  the  units,  or  dollars'  place,  then  multiply 
and  point  off  as  before. 


Find  the  true  int.  of  S167.85  for 


$1  6  7.8  5 
8  0-0  2 

3  3.5  7  int.  for  2  yrs. 
.13    " 


yrs.  and  3  da.,  at  6  %. 

9  vr« 


3  da. 
472 


2  0-0  8 


3  3.7  0 
6 


3dj 

at  10  %, 


Here  we  pre- 
fix two  ciphers 
to  the  first  prod- 
uct 8  ( .8  of  a 
mill)  before 
prefixing  the  2 
(vrs.),  in  order 
tobringthesig-   lAns.$2  0.2  2  0    "      -    t)  " 

nificant  figures  into  their  respective  places. 

To  obtain  the  interest  at  6  %,  multiply  the  interest  at  10  % 
by  6,  and  point  off  threh  places  from  the  lust  product. 

Find  the  accurate  interest  of  S9o6.75  for  293  days,  at  5  %. 

f 


S9  3  b.7  5 
8  2  0-8 


7494 
26 


2)  7  5.2  0  int. 


Ans.  $3  7.6  0 


When  the  prin- 
cipal is  large  and 
great  accuracy 
required,  we  an- 
nex a  0  to  the 
number  of  days;, 
then  proceed  as  [ 
usual. 

To    obtain   the  interest  at  5 
%  by  2. 

Find  the  true  in- 
terest of  $2683.43 
for  1  year  and  33 
days,  at  7  % . 


at  10 
"     5 


2  9  3.0  da. 
472 

5860 

2  0  51 

117 

8-0  2  8 


divide   the   intercd  at   10 


S2  6  8  3.4  3 
4  0  9-0  1 


1  vr. 


When  a  0  is  an- 
nexed to  the  num- 
ber of  days,  the 
product  must  con- 
places. 


26834 
2  4  15 
1  V^ 


3  3.0  da. 
472 
660 
2  31 
13 


2  9  2.6  0int.atlO5^c.  10-9  0  4 


before  we  prefix  the  1  year. 

*See  note.-,,  page  ;i7. 


Ans.  $2  0  4.8  2  0  "     •'    7  - 
Hence  a  cipher  must  be  prefixed   here 


54 


Find  the  amount  of 
$67.92  for  343  days,  at 
10  fo. 

To  obtain  the 
amount,  add  the  prin- 
cipal to   the    interest.       '^  Xnfi.  $7  4.3  0  Amount. 

To  find  the  true  interest  of  $10,  $100,  $1000,  etc.,  for  any 
time,  at  10  %,  annex  a  0  to  the  number  of  days,  multiply  by  472 
(short  method),  and  to  the  product  prefix  the  years,  if  any  ;  then 
place  the  decimal  point  correctly.     Thus,  tlie  true  interest 

1  yr.  9  3.0  da. 

472 


$  6  7.9  2 
0  4-9 

3  4  3  da. 
472 

611 

27 

•6  8  6 
240 

6.3  8  Interest. 
6  7.9  2  Principal. 

14 
9-4  0 

Of       1  dol.  for  1  vr.  93  da.,  at  10  % ,  is  .1  25  4  8 

u      10      "      "     '"        "       "      "      "        $1.2  5|48 
u     iQQ      u     a      u        u       u      u      u     |i2.5  4;8 
"  1000      ''      "      "        "       "      "      "  $12  5,4  81 

It  is  obvious  that  multiplying  the  int.  of  $100  by  4,  gives 
it  for  $400;  multiply '.ng  the  int.  of  $1000  by  3,  gives  it  for 
$3000,  etc.  Thus,  in  the  above  illustration,  the  int.  of 
$1000  is  $125.48  :  evidently,  for  $2000  it  would  be  timce—ioi 
$3000,  three  times— $125.48.,  and  so  on. 


PARTIAI.   PAYMEl^TS. 


A  Partial  JPaynient  is  the  payment  of  a  part  of  the 
amount  due  on  a  note  or  bond. 

The  following  (called  the  Common,  Vermont,  or  Mer- 
chants') Rule  for  computing  interest  on  notes  where  partial 
payments  have  been  made,  is  simple,  easily  comprehended, 
and  extensively  used  by  Merchants  and  Farmers. 

It  is  based  on  the  principle,  that  as  the  creditor  receives 
interest  on  money  loaned,  so  he  should  pay  interest  on 
money  received  before  it  becomes  due.  It  is  the  only  rule 
that  does  justice  to  the  debtor  when  payments  have  been 
made  at  short  intervals.  When,  however,  the  time  from 
date  to  settlement  extends  into  years,  it  favors  the  debtor,  as 


ROPP'S    RAPID    RECKONER.  55 

it  generally  should  if  the  rule  is  to  favor  any  one — no  in- 
terest being  paid  till  the  time  of  settlement. 

Rule. — Find  the  amount  of  the  principal  from  the  time  it  began 
to  draw  interest  to  the  day  of  settlement. 

Find  the  interest  on  each  payment  from  the  time  it  was  made  to 
the  day  of  settlement. 

Subtract  the  sum  of  the  payments  and  interest  thereon  from  the 
amount  of  the  principal — the  remainder'  will  be  the  sum  due  on  set- 
tlement. 

§100.  Bloomington,  III.,  .Jan.  1,  1872. 

One  day  after  date,  I  promise  to  pay  to  Charles  Jones,  or  order, 
One  Hundred  Dollars,  for  value  received,  with  interest  at  ten  per 
cent,  per  annum.  John  Smith. 

Indorsements: 

Mav  1,  1872,  Received   Sixtv     Dollars. 
Sept.  1,  1872,  Received  Thirty  Dollars. 

How  much  was  due  at  the  time  of  settlement,  Jan.  1, 
1873? 

Principal, $100 

Interest  from  Jan.  1,  '72,  to  Jan.  1,  73  (1  yr.), 10 

Amount  of  note  Jan.  1,  73, §110 

First  payment,  made  May  1,  72, §60 

Int.  on  same  to  Jan.  1,  73  (8  mo.), 4 

Second  payment,  made  Sept.  1,  72, 30 

Int.  on  same  to  Jan.  1,  73  (4  mo.), 1 

Amount  of  payments  and  interest  thereon, 195        95 

Balance  due  Jan.  1,  1873, SI 5 


§83475.  Chicago,  III.,  May  14,  1870. 

On  or  before  the  first  of  January,  1873,  we,  or  either  of  us, 
promise  to  pay  to  Robert  Brown,  or  bearer,  Eight  Hundred, 
Thirty-Four  and  j\%  Dollars,  for  value  received,  with  six  per  cent, 
interest  from  date.  William  White. 

George  Green. 
Indoi'sements : 

Oct.  20,  1871,  Received  S217.45. 
Feb.    6,   1871,  Received  S475.00. 
July  17,  1872,  Received  §124.30. 
How  much  remained  due  Jan.  1,  1873? 


56  ROPP'S  RAPID  RECKONER. 

Principal, , $834.75 

Interest  from  May  14,  70,  to  Jan.  1,  73,  (2  yrs.  7 

mo.  17  days), 131.75 

Amount  of  note,  Jan.  1,  73, $966.50 

First  payment,  made  Feb.  6,  71, $475.00 

Int.  to  J'an.  1,  73,  (1  yr.  10  mo.  25  da.),     54.23 

Second  payment,  made  Oct.  20,  71, 217.45 

Int.  to  Jan.  1,  73  (1  yr.  2  mo.  11  da.),..     15.62 
Third  payment,  made  July  17,  72  ......   124.30 

Int.  to  Jan.  1,  73  (5  mo.  14  da.), 3.40 

Amount  of  payments  and  interest  thereon,..$890.00     890.00 
Balance  due  Jan.  1,  1873, $76~50 

$495.  New  York,  March  15,  1872. 

Twelve  jnonths  after  date,  we  promise  to  pay  to  the  order  of 
David  Pope  &  Son,  Four  Hundred  a7id  Ninety-Five  Dollars,  far 
value  received,  xcith  ten  per  cent,  interest.  Payable  at  the  Lafayette 
^""^•-  King,  Hale  &  Co. 

Indorsements: 

Sept.  22,  1872,  Received  $375.00 
April  11,  1873,  Received  $107.50. 

What  remained  due,  July  4,  1873? 

The  interest  on  tliis  note  is  computed  by  the  accurate  method. 

Principal, $495.00 

Int.  from  Mar.  15,  72,  to  July  4,  73  (1  yr.  Ill  da.),     64.55 

Amount  of  note,  July  4,  73, $559.55 

First  payment,  made  Sept.  22,  72, $375.00 

Int.  to  July  4,  73  (285  da.), 29.29 

Second  pavmeni,  made  April  11,  73,....   107.50 

Int.  to  July  4,  73  (84  da.), 2.47 

Amount  of  payments  and  int.  thereon, ....$514.26      514.26 
Balance  due  July  4,  1873 "$45^9 


DISCOUNT    A]M>   PKKSJE]!¥T 
WORTH. 


Disvomit  is  an  allowance  made  lor  ihe  payment  of  a 
debt  before  it  is  due. 

The  I^resent   Worth  of  a  note,  due  at  a  future  tiuK- 


ROPP  S    RAPID    RECKONER. 


57 


without  interest,  is  such  a  sum  which,  being  put  at  interest 
now,  will  amount  to  the  given  debt  when  it  becomes  due. 
Thus,  SlOO  is  the  present  ivorth  of  SllO  due  one  year  hence 
without  interest,  discounted  at  10  %  ;  for  $100  at  10  %  will 
amount  to  s?110  in  that  time — $10  being  the  discount. 

To  find  the  true  discount  and  present  worth  of  a  note  or 
debt. 

Rule. — Divide  the  (jiven  debt  by  the  amount  of  SI  for  the  yiven 
time  and  rate,  the  quotient  u-ill  be  the  Present  Wok  th. 

Subtraet  the  present  worth  from  the  yiven  debt — the  remainder 
will  be  the  true  discount. 


Examples. — Find  the  present  worth, 
of  $156.75,  due  1  yr.  hence,  at  10  %. 

The  amount  of  $1  for 
1  yr.  at  10  %  is  SI.  10. 

We  divide  $156.75  by 
S1..10;  the  quotient  is 
the  present  worth,  which 
subtracted  from  the 
given  sum,  leaves  the 
true  discount. 


and  true  discount 


1.1  0)  1  5  6.7  5(14  2.5  Pres.  Worth. 
46  7 
27  5 
5  5 

$1  5  6.7  5  Sum  or  Debt. 
$1  4  2.5  0  Present  Worth. 


SI  4.2  5  True  Discount. 


j^''*iiOOF.— The  Int.  of  SI  42.50  for  1  yr.  at  10  %  is  $14.25, 
^Ikich  added  to  the  [jrincijjal,  or  present  worth,  gives  the 
aiiiount  or  debt  $156.75. 

Uought  a  Horse  for  S130  on  8  mo.  credit.     AVhat  would 
be  the  present  worth  of  the  debt,  discounted  at  6  %  ? 

The  amount  of  SI  f^,-  «    f  1-0  4  •  1  o  0.0  0  (1  2  5  dol.  Ans. 
mo.  at  6  %  is  $1.04. 


for  S 


260 
520 


Find  the  present  worth  and  discount  of  S413.65,  payable 
in  96  days,  discounted  at  10  % . 


The  int.  of 
SI,  at  10,^  is 
readilyfound 
by  multiply- 
ing the  given 
Xo.  of  days 
by  472  (short 
method). 
The  amount 
is  $1.0263. 


0|2|6|3)413.6  5(4  0  3.0  5  P 
313* 
5 


W. 


S4  1  3.6  5  Debt. 
$4  0  3.0  5  Present  Worth. 
$1  0.6  0  Discou7it. 


'■See  "  Contracted  Division,"  page  73. 


5^ 


ROPP  S    RAPID    RKCKONER. 


Hanh  Discount  is  the  simple  interest  of  a  note  or 
debt,  deducted  from  it  in  advance,  or  before  it  becomes  due. 
AVhen  money  is  obtained  at  a  bank,  the  interest  for  the 
specified  time,  and  three  days  more — called  ''days  of  grace," 
is  deducted  from  the  sum  or  face  of  tiie  note  in  advance,  tlie 
remaijider  being  called  Avails  or  Proceeds. 

Ri'LE. — Compute  the  interest  on  the  face  of  the  note  at  the  given 
rate  %  for  tjiuee  days  moix  than  the  specified  time,  the  result  ivili 
be  the  discount. 

Subtract  the  discount  from  the  sum  or  face  of  the  note,  and  the 
remainder  will  be  the  proceeds. 

Examples. — What  is  the  bank  discount,  and  what  are  the 
proceeds  of  a  note  for  $100,  on  30  days  tinie,  at  10  %  ? 

By  multiplying  the  No.    f      3  3  da 

of  days  (83)  by  472  (short       472 
method),   we  obtain   tlie    {    — tttt 

I    JA 
[  0-9  0 
90  cts.; 


$10  0.0  0    Sum. 

.9  0  Discount. 
$9  9.1  0  Pn 


whicli,   deducted   from 


a  note  for  $1000,  payable 


accurate  int.  of  $1  at  10^, 
which  is9  mills.  Now,  for 
$100  it  must  evidently  be 
100  times  9  mills — tliat  is 
$100,  leaves  the  proceeds. 

Find  the  bank  discount  on 
90  days,  at  10^. 

The  given  sum 
being  large,  we  an- 
nex a  0  to  the  No. 
of  days  (93). 

The  product 
2548  is  the  ac- 
curate int.  of  either  [  A"«-  25  48 
1,  10,  100,  or  1000  dollars — dependent  on  wliere  we  place  the 
decimal  point.  Now,  it  is  readilv  perceived  that  the  int.  of 
$1000  for  93  days  at  10  per  %,'must  be  more  than  $2,548, 
and  tliat  it  can  not  be  $254,8 : 


9  3.0 

47  2 

1800 

651 

37 


$10  0  0.0  0  Face  of  Note. 
2  5.4  8  Discount. 


$9  7  4.5  2  Proceeds. 


What  is  the  bank  dis- 
count on  $546.87  for  70 
davs,  at  10  %  ? 

Tiie  int.  of  $1  for  73 
days  at  10  %,  is  just  2  cts; 
it  is  tlien  easily  fouiul 
for  $546.87. 


consequently,  it  must  be  $25.48. 

$5  4  6.8  7  7  3  da. 

0  0-2,  4  7  2        i 

Ans.  $1  0.9  4 


ROPP'S  RAPID  RECKONER.  59 

Find  the  bank  f      S  9  7.6  8                         14  mo.  13  days, 

discount  and  pro-  3  4-4  1 

ceeds    of   $97.68,  9  7  7~ 

due  in  1  yr.  2  mo.  J          3  9  1*                          $97.68   'Sum. 

10  days,  discount-  j             42                                7.05  Discount 

edat6%.     Com-  2)14X0                           S90.63  Proceeds. 

puted  by  the  first   |      ' '- , 

rule    for    casting  L      $  7.0  o  int.,  at  6  ^. 
Interest. 

The  difference  between  true  and  bank  discount  is  insignifi- 
cant for  short  periods  of  tijue,  but  increases  in  a  fearful 
ratio  as  tlie  time  extends  into  years,  as  will  be  seen  in  the 
following  illustration. 

How  much  would  [  receive  for  a  note  of  SIOOO,  due  in  10 
years,  without  interest,  if  discounted  at  10  fo  true  discount, 
and  how  much  if  discounted  at  the  same  rate  fo  by  bank 
discount,  not  reckoning  days  of  grace  ? 

Ans.  $500  by  true  discount. 

Nothing  by  bank  discount. 

Trne  Method.  Banker's  Method. 

$  2.0  0  Amount  of  $1  for  10  yrs.  SIOOO.    Face   of  Note. 

2.0  0)  1  0  0  0.0  0  Face  of  Note.  §1  0  Q  Q-    Int.  for  10  yrs. 

Ans.  $yOO        Present  Worth.  0  0  00.     Proceeds. 

True  discount  is  the  interest  on  the  present  worth  of  a  note, 
which  is  always  /e.s.s  than  its  face. 

Bank  discount  is  the  interest  on  the /ace  of  a  note,  and  the 
interest  deducted  from  it  leaves  \.\\q  proceeds.  Hence,  when- 
ever the  interest  equals  the  face  of  the  note  or  debt,  there 
will  be  no  proceeds  left;  that  is,  any  note  without  interest 
becomes  worthless,  when  discounted  by  bankers'  method,  in 
the  same  time  that  it  would  double  itself  at  the  given  rate  %. 


PROFIT  AXI>  LOSS. 


Profit  or  Loss  is  the  difiference  between  the  cost  of  an 
article  and  the  amount  received  for  it.     Tlie  Gain  or  Loss  i-s 
always  estimated  on  the  cost  price. 
"See  notes  on  page  :57. 


(30 


ROPP  S    RAPID    RECKONER. 


To  find  the  gain  or  loss,  when  tlie  cost  price  and  gain  or 
loss  per  cent,  are  given. 

Rule. — Multiply  the  cod  price  by  the  gain  or  loss  per  cent.,  and 
from  the  product  point  off  two  more  decimal  places  than  there  are 
decimals  in  the  multiplicand — the  result  will  be  the  gain  or  loss. 

To  find  the  selling  price,  the  gain  or  loss  i.s  added  to,  or  sub- 
tracted from  the  cost  price. 

Examples. —  Flour 
that  cost  $7.50  per  bbl., 
was  sold  at  12  ^  profit : 
what  was  the  gain,  and 
what  was  the  selling 
price  per  bbl  ? 


$  7.5  0 
12 


Ans. 


.9  0-0  0  Gain  per  bbl 
7.5  0        Cost  pric 


^  An.-?.  $8.4  0 


A  wagon  that  cost  $115  was 
sold  at  a  discount  of  20  %  :    j 
what  was  the  loss,  and  what   } 
was  the  selling  price  ? 


price  per  bbl. 
Selling  price  per  bbl, 

$1  1  5 
20 


\ns.  $2  3.0  0    Loss. 


$1  15 

23 

Ans.      S9  2 


Cost  price. 
Loss. 
Selling  price. 


What  must  goods  that 
cost  25  cts.  per  yd.  be  sold 
at  so  as  to  make  15  fc . 


15 


.03  7  5 
.2  5 


Ans.  .2  8- 


Gain  per  yd. 

Cost  price 

28f  cts.  per  yd. 


I  cleared  8|  %  on  a  lot 
of  Hogs  which  cost  me 
$625:  what  did  I  gain, 
and  what  did  I  get  for 
the  lot? 


loss 


An 


625 

5  7-8  Gain  %  reversed. 


5  000 

4  38 

31 


5  4.6  9  Gain. 
6  2  5.0  0  Cost  price. 


Ans.  $6  7  9.6  9  Selling  price, 
per  cent,  when  the  cost  and  sell 


To  find  the  gain 
ing  price  are  given. 

Rule. — Find  the  difference  between  the  cost  and  selling  price, 
which  will  be  the  gain  or  loss. 

Annex  two  ciphers  to  the  gain  or  loss,  and  divide  it  by  the  cost 
price- -the  result  will  be  the  gain  or  loss  per  cent. 


ROPP'S    RAPID    RECKONER. 


01 


Bought  Wheat  at  $1.25  per  | 
bu.  and  sold  it  for  SI. 50 :  what  j 
per  cent,  did   I  make  by  the 
transaction  ? 


SI. 5  0 
1.2  5 


Selling  price. 
Cost  price. 
.2  5       Gain  per  bu. 

1.2  5)2  5.0  0(2  0%,  Ans. 


A  merchant  sold  cloth  at 
S3  per  yd.  that  cost  S3.60 : 
what  %  did  he  lose  ? 

If  reduced  to  its  lowest 
terras,  equals  f . 


S3.6  0      Cost  price. 
3.0  0      Selling  price. 
.6  0       Loss  per  yd. 

3.6!0j6  0.0i0(16f  %,   Ans. 
240 
2  4i2e»i.  |A  =  |. 


.2  5 
.2  2 


Selling  price. 
Cost  price. 


A  grocer  sells  coffee  at  25  cts 
per  lb.  that  cost  him  22:  what  -j   2  2)'^:00"(13^'%,  Ans 
%  does  he  make  ?  8  0 

1  4  Rem.  i±  = 


A  man  paid  S324  for  a  Team,  f 
and  sold  it  again  for  $315.90 :  I 
what  %  did  he  lose  ?  | 

J 

Instead  of  annexing  two  ciphers 
to  the  dividend  (8.10),  we  omit 
those  in  the  divisor  (324.00).  [ 


S3  2  4.0  0 
3  1  5.9  0 

2  4)     8.10(2i%,An3. 
1.6  2  B^u. 


A  Farm  that  cost  S4800,  was  sold   j 
for  S5000:  what  %  was  gained  by 
the  transaction  ?  "^S) 


$5000 
4800 


2  00(4^%,  Ans. 
8  Rem.  -^^  =  I 


OOI.I>    AXI>    CIJRREXC  Y, 


Gold  is  usually  represented  as  rising  and  falling,  but  being 
the  standard  of  value,  it  does  not  vary.  The  variation  is  in 
the  currency  substituted  for  gold  or  specie ;  hence,  when 
gold  is  said  to  be  at  a  premium,  the  currency  or  circulating 
medium  is  made  the  standard,  wiiile  it  is  in  fact  l)elow  par. 


G2 


ROPP  S    KAPID    KECKONER. 


To  cliiinge  gold  into  currency. 
mim  of  (/old  by  (he  price  of  gold. 


Examples. — How  mucli  currency  can 
be  obtained  for  $362.50  in  gold,  when  gold 
is  at  108;^,  or  J?1.08? 

We  reverse  and  write  the  price  with  its 
cents'  order  under  the  units  of  the  given 
sum,  tlien  multiply  by  short  method  and 
point  ofl"  two  figures. 


B.VL.B.—^Iultiply  the  given 


$3  6  2.5 


0.1 


36 

9 


250 
9  00 


Ans.  $3  9  1.5  0 


How  much  currency  can  be  obtained  for 
$85  in  gold,  it  being  at  112|  fo  ? 

Here  we  reverse  and  take  the  sum  or 
tjuantity  for  the  multiplier,  placing  units 
under  cents,  or  hundredths. 


Sl.l  2-7  5 
5  8 
9020 
564 


[  Ans.  $9  5.8  4 


To  change  Currency  into  Gold. 
in  currency  by  (he  price  of  gold. 

How  much  gold  can 
tained  for  $70.85  in  gree 
gold  being  at  109  ^,or$l 


Rule. — Divide  the  amount 


be  ob-  r  -. 
nbacks,  \ 
$1.09?    (. 


0  9)  7  0.8  5(6  5  dol.  Ans. 
5  4  5 


How  much  gold  can 
be  bought  for  $175  in 
currency,  gold  being  at 


f  -  1I.1|3|7|5)  1  7  5.0  0  (1  5  3.8  4  Ans. 
6125 
437 
96 
I  5 


When  gold  is  at  a  certain  per  cent,  premium  over  currency, 
tlie  discount  on  the  currency  is  not  the  same  as  the  premium 
on  gold  ;  thus,  when  gold  is  at  25  %  premium,  the  corre- 
sponding discount  on  currency  is  but  20  %  ;  and  when  gold 
is  at  200  %,  or  100  %  premium,  $1  currency  is  worth  50  cts. 
in  gold  ;  but  when  the  discount  on  currency  is  100  ^,  it  is 
entirely  worthless. 

To  find  the  corresponding  value  and  discount  on  Currency 
when  the  premium  or  price  of  gold  is  given. 

Rule. — Annex  (ivo  ciphers  (o  100,  and  divide  i(  by  (he  price  of 
gold  ;  the  quotient  vAll  be  (he  value  i  in  gold )  of  $1  currency  ;  and 
the  difference  between  (his.  sum  and  100,  will  be  (he  discount  on 
currency. 

=  ;>ti'  "Contracted  Uivis-iou,"  page  78. 


ROPP  S    RAPID    KKCKONEK. 


63 


When  gold  is  20  %  pre- 
mium, or  at  120  %  ;  what 
is  the  corresponding  value 
and  discount  on  currency? 


r   1210)  10  0.010  (83Jcts.    Ans. 
40 
4  Rein.  y\  =  \. 
100 

1       Ans.  1  6  I  %  Discount. 


To  find  the  corresponding  price  and  premium  on  gold, 
when  the  value  or  discount  on  currency  is  known. 

KuLE. — Annex  two  ciphers  to  100,  and  divide  it  by  the  value 
{in  gold)  of  $1  currency ;  the  quotient  will  he  the  price  of  gold  in 
currency,  and  the  difference  between  this  sum  and  100  will  be  the 
premium. 

When  the  discount  f  «  r.  ,    t^  • 

on  currency  is  2d  ^o,  7  5)  1  0  0.0  0  (1  o  o  ^  Price,  Ans. 

or    SI     currency    is  |  250      100 

wortli  Tocts.  in  gold;  \  25  0      33  J  Premium,  Ans. 

what    is    the    corre-  I  2  5  Hem. 

sponding    price,  and  |  |4  =  ^. 

premium  on  gold?  [ 


TABL.E, 

vShowing  the  comparative  value  of  Gold  and  Currency 


When  tlie  price  of  $1 

The  Premium  on 

The  Correspondins:  val.  of 

The  Discount  on 

Guld  is  I  in  Currency; 

Gold  is 

$1  Currency  IS  i  in  GoM) 

Currency  is 

101  cts. 

1     % 

99x^0  cts. 

m  % 

105    '' 

5     '' 

95.\      " 

4Jf    " 

110    " 

10     " 

90}a      " 

9tV   " 

115    " 

15     " 

8611      " 

is.V  " 

120    " 

20     " 

83*        " 

16|     " 

125    " 

25    " 

80 

20       " 

133i  " 

33i  " 

75 

25       " 

150    " 

50    " 

66i        " 

33^     " 

1661  - 

661" 

60 

40       '' 

200    " 

100    " 

50 

50 

500    '' 

400    " 

20 

80        *' 

1000    " 

900     " 

10 

90        " 

iOOOO    " 

9900    " 

1 

99       '•- 

64 


PART^ITERSHIP    OR    CO^TIPAl^Y 


A  Partnershii)  or  Firm  is  an  association  of  two  or 
more  persons,  for  the  purpose  of  transacting  business  with 
an  agreement  to  share  the  profits  and  hisses  proportionally. 

Capital  or  Joint  Stoch'  is  ihe  amount  of  money  or 
property  used  in  the  business. 

Dividend  is  the  amount  of  profit  or  loss  apportioned  to 
each  partner. 

To  find  each  partner's  share  of  the  gain  or  loss. 

Rulj:. — Divide  the  whole  gain  or  loss  by  the  entire  stock;  the 
quotient  will  be  the  fjain  or  loss  per  cent. 

Multiply  each  partner'' s  stock  by  thl^  per  cent.,  the  result  mil  be 
each  one's  share  of  the  gain  or  loss. 

Examples. — Smith  and  Jones  entered  into  partnershij) 
with  a  capital  of  $6000,  of  which  Smith  furnished  $3500,  and 
Jones  S2o00.  They  gain  $600;  what  was  each  one's  share 
of  the  gain? 

6000)  600.00  (.10,  or  10  cts.  gain  on  the  dollar. 

$3500  X  .10  =  $350  Smith's  share  of  the  gain. 

$2500  X  .10  =  $250  Jone's   share  of  the    gain. 


A,  B,  and  C,  rented  a 
farm  for  S9G0.  They 
cleared  above  all  ex- 
penses S456.  "What  % 
did  they  gain  on  their 
money,  and  what  was  A's  share  Avho  furnished  $350? 


9  610)  4  5  6.010  (.4  7  },   Ans. 
7  2  0' 
4  8  i?ew.  i|= -^. 

$350  X-47^  =  $166.25  A.'s  share. 


Thompson,  Clark  &  Co.,  have  failed  in  business.  Their 
liabilities  or  debts  amount  to  S42650,  and  their  assets  or 
available  property  to  $23884.  How  much  can  they  pay  on 
the  dollar,  and  what  dividend  will  Franklin  Kadford  re- 
ceive, Avhose  claim  is  $750? 

4  2  6  5i0)  2  3  8  8  4.010  (.5  6,  or  56  cts.  on  the  dollar 
2  55  90 
$7  5  0  X.5  6  =  $4  2  0,  Radford's  share. 

This  is  usually  termed  Bankruptcy,  but  is  computed  on  the  same  prin- 
ciple as  partnership. 

Mike,  Dick,  and  Patrick  dug  a  ditch  for  $100.  Mike  worked 
13,  Dick  10,  and  Patrick  9  days.  What  wages  did  they 
make  per  day,  and  what  was  each  one's  share  of  the  SlOO? 


HUPP'S    RAPID    RECKONER.  65 


We  divide  the  $100 
by  32,  the  whole  Xo. 
of  days  worked,  the 
quotient  will  be  the 
wages  per  day,  which 
multiplied  by  the 
number  of  days!  that 


3  2)  1  0  0.0  0  (3.1  2  5  wages  per  day. 
40 
80 
160 


S3.]  25  X  13  =  $40.62^  Mike's  share. 

S3.125  X  10  =  $31.25  Dick's  " 
^ach'^ine  "worked;  L  5^.125  X  9  =  $28.12^  Patrick's '' 
will  give  each  one's  share. 


I.EVYIXG  TAXES. 


Taxes  are  assessments  laid  on  property  for  the  piirpose 
of  defraying  public  expenses. 

To  find  the  rate  of  taxation,  the  required  tax  and  the 
value  of  the  taxable  property  being  known. 

EuLE. — Annex  ciphers  to  the  number  denoting  the  tax,  and 
divide  it  by  the  number  denoting  the  taxable  property,  the  quotient 
will  be  rate  of  taxation. 

Examples,  r  4  8  3  510)  9  6  T.OjO  (.0  2,  or  2  cts.  on  the  dol. 
-In  a  certain   |  $3765  Harper's  property. 

S  C  II  O  O  1      Cl  IS-    -»  ^  ^ 

trict,    valued  '—^  ^  , 

at  $48350,  it  [       Ans.  $7  5.3  0       "  School  tax. 

becomes  necessary  to  levy  a  tax  of  S967  for  school  purposes. 
What  will  be  the  rate  of  taxation,  and  what  will  be  Henry 
Harper's  school  tax,  whose  property  is  valued  at  S3765? 

An  iron  bridge  which  cost  $1353.75,  was  built  by  a  town- 
ship whose  taxable  property  is  valued  at  S386718.  What 
will  be  the  tax  on  the  dollar,  and  what  will  be  John  Sher- 
man's bridge  tax  whose  property  is  valued  at  S7284? 

3  8  6  7  1  8)  1  3  5  3.7  5  0  0  (.0  0  3  5  +,  or  3*  mills  on  the  dol. 
1935960 

2  3  7  0  Beni. 

$  7  2  8  4    vSherman's  property. 

.0  0  3  ■} 
218  5  2 
3642 


$2  5.4  9  4  Slier  man's  bridge  tax. 


66  ROPP  S    RAPID    RECKONER. 

PRICE    OF    IIOOIS. 


A  short  and  siini)le  method  for  finding  tlie  net  weiglit,  or 
})rice  of  Hogs,  when  the  gross  weight  or  price  is  given,  and 
vice  versa. 

NoTF..— Tt  is  generallj'  nssumed  that  tlie  gross  weight  of  Hogs,  dimin- 
ished by  1-5  or  20  per  cent,  of  itself  gives  the  net  weight,  and  the  net 
weight  increased  by  ^  or  2.0  per  cent,  of  itself,  equals  tlie  gross  weight. 

To  find  the  Net  weight,  or  Gross  price  ;  Multiply  the  (jiven 
number  by  .8  (tenths). 

Examples. — A  hog  weighing  305  lbs.  gross,  will         3  6  5 

weitjh  292  lbs.  net;  and  Pork  at  $3.65  net,  is  equal  \   -^ 

to  $2.92  gross.  2  9  2.0 

f  4  8  5 

What  will  be  the  Net  weight  of  a  Hog  j  g 

that  weighs  485  lbs.  gross?  I    ^^^^^_  ,^^^  j,^^_ 

To  find  the  Gross  weight  or  Net  price ;  Divide  the  (jiven 
number  by  .8  (tenths). 

Examples. — A  Hog  weighing  348   lbs.    net, 
weighed  435  11  )s.  gross;  and  Pork  at  $3.48  gross, -|  '"''— ^ 
is  equal  to  $4.35  net. 


$4.75  per  cwt.  for  Hogs  gross,  is  equa 
what  price  net? 


f  .8)3_4  8.0 
\  43  5 

al  to  I      .8)  4  7  5.0 
I  Ans.  $5.9  3  | 


iriEXSlTRATIO]V. 


3IeiiSiir((fAoii  is  the  art  of  measuring  surfaces,  and 
determining  the  area  and  solid  contents  of  geometrical  fig- 
ures or  bodies. 

We  here  present  a  series  of  short  and  sim]>le  methods  for 
ascertaining  the  contents,  or  capacity  of  Granaries,  Corn- 
cribs,  Cisterns,  Casks,  etc. ;  also  rules  for  measuring  Lund)er, 
Logs,  Land,  and  numerous  other  things,  all  of  which  are  of 
practical  utility  to  Farmers,  Merchants,  and  Meehanics. 


ROPPS   RAPID    RECKONER. 


67 


Grain  Measure. 

To  find  the  capacity  of  a  Granary,  Bin,  or  Wagon-bed. 

KuLE. — Multiply  (by  short  method)  the  number  of  cubic  feet 
bij  6308,  and  point  off  one  decinud  place — the  result  will  be  the 
coirect  ansiver  in  bushels  and  tentk-i  of  a  bu. 

For  only  an  approximate  answer,  multiply  the  cu.  ft.  by  8, 
and  point  off  one  decimal  jilace. 


Examples. — Find      the  f  i 

capacity  of  a  Granary  18  ft.  | 

long,  9  ft.  wide,  and  8  ft.  high.  | 

To  obtain  the  number  of  j 

cu.  ft.  we  multiply  the  lenqfh^  \ 

icidthj  and  height  toycther.  [ 


8X9X8: 


Xv\i 


12  9  6  cu.  ft. 
6308 


10368 
39 

7 

1  041.4  bu. 


(9X6X7^ 


What  is  the  capacity  of  a  | 
Bin  9  ft.  long,  6  ft.  wide,  and  - 
7^  ft.  deep? 


4  05  cu, 
6  30  8 


ft. 


3240 

M 

Ans.  3  2  5,4  bu. 


How  much  grain  will  a 
AVagon-bed  hold  that  is  11  ft, 
long,  3  ft.  wide,  and  2  ft, 
deep  ? 


fll 


X3X2 


6  6  cu.  ft. 

*3  0  8 


Ans,  5  3,0  bu. 


Find  the  contents  a  Wagon- 
bed  11  ft,  11  in.  long,  3  ft.  1  in. 
wide,  and  1  ft.  8  in.  deep. 

We  write  the  inches  decimally, 
thus,  11  in.  or  \}f  equals  .91  4-  ft.. 
Jj  z=  .08  +  ft.,  8  in,  or  f  =  .66 -f 
ft.     See  table,  page  28, 


L  Ans. 


1  1.91  length. 
8  0.3  width  reversed. 

3  7 
6  6.1  depth  reversed. 

24 

6  1  cu.  ft 
'^3  0  8 

4  9.6  bu. 


To  find  the  contents  of  a  Corn-crib. 

Rule. — Multiply  the  number  of  cubic  feet  by  54,  short  method, 
or  by  4. J  ordinary  method,  and  point  off  one  decimal  place — the 
result  will  be  the  answer  in  bushels. 
*  Here  tlio  G  Itccoincs  siiik  rtluons,  and  luiici-  i-;  oniittcil. 


G8 


KOPPS    RAPID    RECKONER. 


Examples.— Find  tlie  con- 
tent?^  of  a  Corn-crib  14  I't.  long, 
7  ft.  wide,  and  9  ft.  hi<di. 


14X7X 


8  82  cu.  ft. 
54 

35  2  3 
__44_1 

Ans.  3  9  G.9  bu. 


How  many  bu.  will  a 
crib  iiold  that  is  4S  ft. 
long,  7.1  ft.  wide,  and  S\ 
ft.  hi-h? 


48X7AX8i 


=  3060 

4_ 

12240 
1530 


en.  ft. 


Ans.  137  7.0  bu. 


Hay  Measure. — About  500  cubic  feet  of  well  settled  hay, 
or  about  700  of  new  mown  hay  will  make  a  ton. 

Note.— The  only  acc7<raie  method  to  measure  hay  is  to  weigh  it,  since  two  quantities 
equal  in  bulk  will  never  weigh  alike.      Any  rule  is  simply  an  approximation. 

Cistern,  Tank,  and  Barrel  Measure. 


To  tind  the  contents  of  a  Cistern  or  Tank. 

Rule. — 3Tultiply  the  square  of  the  mean  diameter  by  the  depth, 
(all  in  feet)  and  this  product  byb6Sl  (short  method),  and  point 
off  ONE  decimal  place — the  result  ivill  be  the  contents  in  barrels  of 
31 2  gallons. 

Examples.— Find  the  con-   f9X9X10=810 
tents  of  a  Cistern  whose  mean   j  5  6  81 

diameter  is  9  ft.,  and  depth    { 
10  ft.  -j 

The  square  of  a  number  is  j 
the  product  of  that  number  [ 
multiplied  bv  itself.  Thus,  the  square  of  9  (9  times  9)  is  81 ; 
this  multiplied  by  10  makes  810,  which  we  multiply  by 
5681,  short  metho'd. 


Ans 


r  6X6X7 


Find  the  contents  of  a  Cis- 
tern 6  ft.  in  diameter,  and  7^  - 
ft.  deej). 


h=^     27  0 

5681 

270 

216 

17 

Ans.  5  0.3  bbl. 


ROPP'S    RAPID    RECKONER.  69 


Find  the  capacity  of  a  Tank 
18  ft.  in  diameter,  and  22  ft. 
deep. 


18X18X22- 

=  7128 
56  8  1 

7128 
5702 
4  2  8* 
36 

Ans. 

1  3  2  9.4  bbl 

To  find  the  contents  of  a  Barrel  or  Cask. 

Rule, —  Under  the  square  of  the  mean  diameter^  write  the  lenyth 
(all  in  inches)  in  ke versed  order  so  that  its  units  will  fall  under 
the  TENS ;  raultiply  by  short  method,  and  this  product  ar/ain  by  430; 
point  off  one  decinml  place,  and  the  result  will  be  the  answer  in 
wine  gallons. 

Examples. — Find  the  contents  of  a  Barrel,  the  mean 
diameter  of  \shich  is  19  in.,  and  the  length  35  in.  Also  of 
a  Cask  whose  mean  diameter  is  22i  in.  and  len^jth  40i  in. 


Barrel.  Cask. 

1  9  X  1  9  =-  3  6  1  2  2  .}  X  2  2  i  =  5  0  6 

53  lenglh  reversed.  5.0  4  length  reversed. 

1083  2024 


181 


o 


1264  2049 

430  430 

379  6T5~ 

50_  8  2 

An.s.   4  2.9      gal.  Ans.    69T~gal. 

Lumber  Measure. 

To  measure  Boards.  Rvj.t..— Multiply  the  length  (in  feet) 
by  the  width  (in  inches)  ajid  divide  the  product  by  12— the  result 
will  be  the  contents  in  square  feet. 

Examples.  —  Ii< » w  f  ,  o  ^  i  /->  i  o  a  i  .-»  i  o  / » 
many  .sq.  ft.  in  a  hoard  J  1  ^  xM  0  =  1  8  0,  1  2)jmj_ 
18  ft',  lonff,  10  in.  wide?  Ans.     I  5  ft. 


In  a  board  16  ft.  long,  1  1  6  x  1  4  i  =  2  3  2,     12)232 
14*  in.  wide?  ]  "  AnsrT9?lfi. 

Sff  notes,  pii-c  .'iT. 


70  ROPP'S    RAPID    RECKONER. 


To  measure  Scantlings,  Jois'ts,  Plank,  Sills,  etc. 

Rule. — Multiply  the  uidtJt,  the  thickness,  and  the  length  to- 
(jether  (the  width  and  thickness  in  inches,  and  the  length  in 
ft.),  and  divide  the  product  by  12 — the  result  will  be  square  feet. 

Examples.  —How    many  f  2X4X16  =  128,     12)  128 
square  ft.  in  a  Scantling  2  by  4,  <  .        -^rp^r  r. 

IH  ft.  long?  =>      ^    'I  Ans.    IO5  ft. 

In  a  Scantling  4  by  4, 18  ft.  f  4X4X18  =  288,     12)  288 
'ong?  *  i  Ans.    24    ft. 

In   a  Joist  2  by  8,  10  ft.  f  2X8X16=  256,     12)256 


long? 


)  ft.f  2XJ 


Ans.    2U  ft. 


In  a  Plank  2\  by  14,  18  f  2^X14X18  =  630,     12)  630 
^^•^«"g-  \  Ans.- 52^- ft. 

In   a  Sill  8  by  8,    14   ft.  {8X8X14  =  896,     12)896 
^°"g-  1  Ans.  "T4|  ft. 

Land  Measure. 

To  find  the  number  of  Acres  in  a  body  of  Land. 

Rule. — Multiphi  the  length  by  the  width  (in  rods),  and  divide 
the  product  by  160  (carrying  the  division  to  2  decimal  places 
if  there  is  a  remainder) ;  the  result  will  be  the  answer  in  acres  and 
hundredths. 

r  90 

Examples. — How     many    Acres   |  gO 

in^ajeld  90  rods  long  and  80  rods  j    igjO)  TMjO  (45    Ans. 

80 


How  many  acres  in  a   r58X37^  =  2175  square  rods, 
pasture   58    rods    long,   ' 


and  37.\  wide?  |  1  6J0)  2  1  71,5  (1  3.5  9  +  Ans. 

We  carry  the  division  -{  5  7 

to  two  decimal  places,  9  5 

the   answer  is   then  13   |  15  0 

acres  and  59  hundredths  t  6  Bern. 

of  an  acre. 


ROPP  S    RAPID    RKCKONER. 


71 


When  tlie  opposite  sides  of  a  piece  of  land  are  of  unequal 
length,  add  them  tof/dher  and  take  one-lialf  for  the  mean  length  or 
width,  as  will  be  illustrated  by  the  following  example. 


82^ 


2)  1  5 


46  i 
48" 


2)  9  4.5 


4  7.2  5 


4G.' 


7  8.7  5  mean  length. 
5  2.7  4         "  width  reversed. 
3  150 

5  51 
20 

16|0)3  7  2|l(2  3.2  5-t- Ans. 
52 
41 
90 
10  Rem. 


This  is  not  strictly  according  to  geometrical  principles,  Init  is  sufficiently 
accurate  for  practical  purposes. 


Floor,  Wall,  and  Roof  Measure. 

To  find  the  number  of  Square  Yards  in  a  Floor  or  Wall. 

Rule. — Multiply  the  length   hij  the  tddth  or  height  (in  ft.), 
and  divide  the  product  by  9,  the  result  uill  be  square  yards. 


Examples. — How   many    square 
yds.  in  a  Floor  18  ft.  wide,  and  20  ■{ 
ft.  Ion??  I 


18 
2  0 
9)  8  60  .square  ft. 
Ans.  4  0        '•        vds. 


1  5.7  5  width. 
6  1      length  reversed. 

iTs" 

94 


9)252 


How  many  yds.  of  carpet,  f    ' 
of  a  yd.  wide,  will  it  take  for  a 
floor   16   ft.    long  and    loj   ft. 
wide  ? 

We  reverse  the  length   and 
write  it   with   its   units   under  -{ 
the  units  of  the  width,  the  prod- 
uct will  then  be  a  whole  num- 
ber. 

To  divide  28  by  f,  we  multi-   i     .         .5-1      ■, 
ply  it  by  the  denominator  (4).    [  ^"^"^-  "^  '  ■'  ^^^^^ 
and  divide  the  product  by  the  numerator  (3). 


square  ft. 
"      yds. 


3)  1  1  2 


ROPP  S    RAPID    RECKONER. 


What    will    the   f  7  6X11=" 


plastering  of 
Kooni  18  by  20, 
and  11  ft.  high, 
cost  ai  15  cts.  per 
sq.  vd  ? 

The    length    of  L 
the  walls  is  76  ft. 


8  3  6  sq.  ft.  in  4  walls. 
18X20=         360   *'    "         ceiling. 
9)  1 1  9  6 

13  3  sq.    yds.    nearly. 

1^ 

Ans.  $1  9.9  5  cost. 


To  find  the  number  of  Bricks  required  in  a  building. 
Rule. — Multiply  the  number  of  cubic  feet  by  22-2. 

The  number  of  cu.  ft.  is  found  by  multiplying  the  length, 
height,  and  thickness  (in.  ft.)  together. 

Bricks  are  usually  made  8  in.  long,  4  inches  wide,  and  2 
in.  thick  ;  hence,  it  requires  27  bricks  to  make  a  cu.  ft.  with- 
out mortar,  but  it  is  generally  assumed  that  the  mortar  tills 
^  of  the  space. 

Examples. — How  many  bricks 
are  required  to  pave  a  walk  78  ft. 
long  aud  6  ft.  wide,  reckoning  4^ 
bricks  to  the  sq.  ft. ;  and  what 
will  they  cost  at  $7.50  per  thou- 
sand ? 


X6 


468 
4 


sq.  ft. 


-j         Ans 
[aus.    $ 


2106    bricks. 
$1  5.7  9  5    cost. 


How  many  bricks  are 
required  for  a  House 
whose  walls  are  156  ft. 
long,  20  ft.  high,  and 
1^  ft.  (16  in.)  thick; 
deducting  640  cu.  ft. 
for  doors  and  windows? 


156X20Xli 


416  0  cu.  ft. 
640 


3  5  28 

22* 


Ans.  7  9  200  bricks. 


How  many  bricks  will  it  take  to  wall  up  a  Cellar,  17  by 
18,  6}  ft.  high,  with  an  8  inch  (f  ft.)  wall ;  and  how  many 
to  pave  the  floor,  reckoning  4-2  brick  to  the  square  foot? 

ISft.ontsidt-^ 

67jX62Xt=     292    cu.  ft.,  nearly. 


18  ft.  long. 

I.' ' 

-31 

15%  by  1623  inside. 

1 

•"! 

261  +SQ.  ft. 

^ 

^1 

p" 

!■<  ft.  lone. 

16§X15|X4^ 


292 

09.1 


6570  bricks  in  walls. 
rll75  bricks  in  floor. 


The  whole  length  of  the  wall 
and  twice  15§  ft. 


Ans.  7745  bricks  in  all. 
is  67^  ft.,  viz.,  twice  18  ft. 


ROPP'S    RAPID    RECKONER.  78 

To  tint!  the  number  of  Sliingles  required  in  a  roof. 

KuT-E. — Multiply  the  number  of  square  feel  in  the  roff  by  8,  if 
the  shingles  are  exposed  4^  inches,  or  by  1\  if  exposed  5  inches. 

To  find  the  number  of  square  feet,  multiply  the  kmjth  of  the 
roof  by  twice  the  length  of  the  rafters. 

To  find  the  length  of  the  rafters,  at  one-fourth  pitch,  multi- 
ply the  width  of  the  building  by  .56  (hundredtlisi ;  at  one-third 
pitch,  by  .6  (tenths);  at  ^uo-y//l'/(.s  pitch,  by  .64  (hundredtlis) ; 
at  one-half  pitcii,  by  .71  (hundredths).  This  gives  the  length 
of  tlie  rafters  from  the  apex  to  the  end  of  the  wall,  and 
whatever  they  are  to  project  must  be  taken  into  consideration. 

Note. — ByV,  or  3-3  pitch  is  meant  that  theajiex  or  comb  of  tlie  roof 
is  to  be  14  ^"'  73  the  width  of  the  buildiug  hiyher  than  the  walls  or  base 
of  the  rafters. 

Examples.  —  How  many  f  ^        _       ^     , 
shingles  will  it  take  to  cover  a      2  1  X  1  -5  =  3  1  o  ^sq.  ft. 

shed,  the  roof  of  which  is  21  ft.  |  ^ 

long  and  15  ft.  wide,  reckon-  -{  Ans.   2  2  6  8    shingles, 
ing  7|  shingles  to  tlie  sq.  ft. ;  4  } 

and    what    will    they   cost    at  |  \„s    39.0  3  9     cost. 

$4.25  per  thousand?  [ 

How  many  shingles  will    it    f 
take  to  cover  a  roof  34  ft.  long,       34X27^^0  35     .sq.  ft. 

and  27-i  ft.  from  eave  to  eave.  j  7  i 

The  shingles  to  be  exposed  5   j  Ans.  6  7  3  2 

inches?  ( 

How  many  shingles  are  required  to  cover  a  building  42 
feet  long,  and  30  feet  wide;  the  roof  to  have  ^  pitch,  and  to 
project  1  foot  on  each  end,  and  1  foot  on  each  side  for 
the  eaves — the  shingles  to  be  exposed  4.]  inches  to  the 
weather? 

2  times  19^^     3  8 
4  2  and        2  =:     44 

167  2  sq.  ft. 
8 
Ans.  13376 


3  0  feet  wide. 

^ 

1  8.0  ft.  length  of  rafters 


74 


KOPr  S    JJAl'II)    RECKONER. 


ACXOIXTS, 


Every  Farmer  and  Mecluinic,  whether  lie  does  much  or 
little  business,  should  keep  a.  record  of  his  transactions  in  a 
clear  and  systematic  manner.  For  the  benefit  of  those  who 
have  not  had  the  opportunity  of  acquiring  a  primary  knowl- 
edge of  the  principles  of  book-keeping,  we  here  present  a 
simple  form  of  keeping  accounts  which  is  easily  compre- 
hended, and  well  adapted  to  record  the  business  transactions 
of  farmers,  mechanics,  and  laborers. 


1«73. 


ALBERT  DAVIS. 


•Jan. 

10 

" 

17 

Feb. 

4 

a 

4 

Mar. 

8 

a 

8 

« 

13 

« 

27 

Apr. 

9 

y 

May 

G 

u 

24 

Julv 

4 

To  7  bu.  Wheat @  1.25 

By  shoeing  span  of  Horses 

To  14  bu.  Oats @  .45 

''    5  lbs.  Butter @,  .25 

By  new  Harrow 

"    sharpening  2  Plows 

"    new  Double-tree 

To  Cow  and  Calf 

"    half  ton  of  Hay 

By  Cash '. 

"    repairing  Corn-planter 

To  one  Sow  with  pigs 

By  Cash,  to  balance  account... 


8 

75 

1 
2 

6 

30 

1 

25  1 

1 

18 

2 

48 

00; 

6 

25 

25 
4 

17 

50  I 

35 

!  $88 

1 

i$88 

05 

50 


HENRY  EDWARDS. 


Cr. 


Mar.  21  ,  Bv  3  davs'  Labor (a)  1.25 

"     2l!To2Shoats "    3.00 

"     23  I  "    18  bu.  Corn "      .45 

May     1  !  By  1  month's  Labor 

1  I  To  Cash 

.June  19  ;  By  8  days'  Mowing @,  1.50 

"    26    To  50  lbs.  Flour 

.July  10  j"    27  lbs.  Meat @    .10 

*'     29    By  9  days'  Harvesting...  "  2.00 

Aug.  12  !  "    6  days'  Labor "  1.50 

"     12    To  Cash 

Sept.    1     ''       "    to  balance  account. 


3 

6 

00' 

8 

10  1 

1 

25 

10 

00  j 

12 

2 

75 

2 

70 

18 
9 

20 

00 

18 

20 

$67 

$67 

75 

00 
00 


APPENDIX. 


Simultaneous,  or  Cross  Multiplication. 


By  this  method  of  multiplication  the  product  of  any  two 
numbers  may  be  obtained  without  making  any  figures  ex- 
cept the  product  itself.  It  is,  however,  a  somewhat  difficult 
process  to  explain  it  thoroughly  with  the  pen  alone.  In 
practice,  the  work  is  really  much  simpler  and  less  tedious 
than  it  ap})ears  on  paper,  for  then  we  name  results  only  and 
thereby  obviate  a  considerable  portion  of  the  labor. 

We  present  this  method  for  the  benefit  of  intelligent 
students,  knowing  it  to  be  well  adapted  to  drill  and  expand 
the  mental  powers.  It  may  also  be  applied  M'ith  advantage 
to  practical  calculations  by  a  good  accountant,  and  besides 
it  is  a  great  satisfaction  to  any  one  who  thoroughly  under- 
stands its  principles. 

'RuL.E.-— First  multiply  the  units  together,  then  multiply  the 
figures  which  produce  tens,  and  adding  the  products  mentally,  set 
down  the  residt  and  carry  as  usuxil. 

Xext  midtiply  the  figures  which  produce  hundreds,  and  add  the 
products  as  before. 

In  like  manner  perform  the  multiplications  ichich  produce 
thousands,  etc.,  adding  the  products  of  each  order  as  you  proceed, 
and  thus  continue  the  operation  till  all  the  figures  are  multiplied. 

Examples.— Multiply  78  by  53.  f  7  8 

__o3 

First  we  multiply  the  unit's  figures  3  and  8  ]  \ns.  413  4 
together,  making  24 ;  we  set  down  the  4  and  [ 
carry  2  (tens).  Next  we  multiply  the  ten's  fig.  7  by  the 
unit's  fig.  3,  and  the  unit's  fig.  8  by  the  ten's  fig.  5,  and  aiki 
the  two  products  together  mentally,  making  63  with  the 
2  (tens);  we  set  down  the  3  and  carry  the  6.  We  then  mul- 
tiply the  ten's  fig.  7  by  the  ten's  fig  5,  which  with  the  6  (tens) 
makes  41. 

(75; 


lb  ROPPS    RAPID    RECKONER. 

Multiply  354  bv  62.  f  354 

I  62 

First  we  multiply  the  4  units  by  the  2  1  j^ns.  219  4  8 
units.  Second,  tlie  5  tens  by  the  2  units,  [ 
and  tiie  4  units  by  the  6  tens,  making  34.  Third,  the  3 
hundreds  by  the  2  units,  and  5  tens  by  the  6  tens,  making 
39  with  the  3  to  carry.  Fourth,  the  3  hundreds  by  tiie 
6  tens,  making  21,  including  the  3  (tens). 

Multiply  627  by  453.  f  6  2  7 

J  453 

First  we  multiply  the  7  by  the  3.  Second,  1   ^^s.  2  8  4  0  31 
the  2  by  the  3  and  the  7  by  the  5,  making   [ 
43,  including  the  tens.     Third,  the  6  by  the  3,  the  2  by  the 

5  and  the  7  by  the  4,  making  60.  Fourth,  the  6  by  the  5  and 
the  2  by  the  4^^  making  44.     Fifth,  the  6  by  the  4,  making  28. 

Multiply  7325  bv  614.  f  7  3  25 

I  614 

First  say,  4  times  5  are  20.  Second,  2  1  ^^s.  4  4  9  7  5  5  0 
to  carry  to  4  times  2  and  1  time  5,  make  [ 
15.  Third,  1  to  carry  to  4  times  3,  1  time  2  and  6  times  5, 
make  45.  Fourth,  4  to  carry  to  4  times  7,  1  time  3  and  6 
times  2,  make  47.  Fifth,  4  to  carry  to  1  time  7  and  6  times 
3,  make  29.     Sixth,  2  to  carry  to  6  times  7  make  44. 

Multiply  4587  by  3126.  f  4  5  8  7 

J  31  26 

First    say,  6X7-=  42.      Second,   4   1   Ans.  14338962 

(tens),  6X8  and  2X7  =  66.     Third,   [  ^  «''•  ^  ^ -^^  ^ -^  »  ^ 

6  (tens),  6X5,  2X8  and  1X7=^59.  Fourth,  5  (tens), 
6  X  4,  2  X  5,  1  X  8  and  3  X  7  =  68.  Fifth,  6  (tens)  to  2  X  4, 
1X5  and  3X8  =  43.  Sixth,  4  (tens),  1X4  and  3X5 
=  23.     Seventh,  2  (tens),  3X4  =  14. 

Multiply  93612  by  84075.  f  9  3  612 

1  840  7  5 

First,  5X2  =  10.    Second,  1  (ten),  1  a  „«    7870428  900 
5X1  and  7X2  =  20.    Third,  2  (tens),   |  ^o^"^-«-'^^ 

5  X  0,  7  X  1  and  0X2  =  39.  Fourth,  3  (tens),  5  X  •'^,  7  X  6, 
0  X  1  and  4  X  2  =  68.  Fifth,  6  (tens),  5  X  »,  7  X  3,  0  X  6, 
4  X  1  and  8  X  2  =  92.  Sixth,  9  (tens),  7  X  9,  0  X  3,  4  X  6 
and  8X1  =  104.  Seventh,  10  (tens),  0X9,  4  X  3  and 
8  X  6  =  70.  Eighth,  7  (tens),  4  X  9  and  8  X  3  =  67.  Ninth, 

6  (tens)  and  8X9  =  78. 


ROPP'S    RAPID    RECKONER.  77 

Peculiar   and   Useful   Contractions   in 
Multiplication. 

To  Multiply  any  number  of  two  figures  by  11.  Write  the 
sum  of  the  tirojigures  between  them. 

Multiply  34  by  11.  Say  3  and  4  are  7,  and  write  it  be- 
tween the  3  and  4.  Ans,  374. 

Multiply  97  by  11.  Say  9  and  7  are  16,  write  the  6  in  the 
middle,  and  add  the  1  to  the  9.  Ans.  1067. 

To  find  the  product  of  any  two  numbers,  whose  right  hand 
figures  make  10,  and  whose  left  hand  figures  are  alike. 

Multiply  the  units  together  and  set  doicn  their  product,  then  add 

I  to  the  upper  tens  and  multiply  it  by  the  lower,  and  set  their  prod- 
uft  before  the  product  of  the  units. 

Multiply  75  bv  75.                                             f                 Z  5 
^  •  '  J  75 

Say  5  times  5  are  25  and  set  it  down,  then   j    \,is,  5  6  2  5 

increase  the  upper  7  by  1,  and  say  7  times  8   [ 

are  56,  which  set  before  the  25. 

Multiply  117  by  113.  f  '^ '^  J 

Sav  3  times  7  are  21  ;  add  1  to  11  and  sav  1    \,i^   2  3  ''  '^  1 

II  times  12  are  132.  L  ^ 

Multiply  89  by  81.  f  ^9 

Say  once  9  is  9,  set  it  down  and  prefix  a  0,  j  \„j^  7  20  9 
then  say  8  times  9  are  72.  [ 

When  the  left  hand  figures  make  10,  and  the  right  hand 
figures  are  alike. 

Set  dov:n  the  product  of  the  unit%  and  to  the  left  of  it  the  prod- 
uct of  the  tens  increased  by  one  of  the  units  figure.^. 

Multiplv  58  bv  58.  r  f? 

J  5  8 

Say  8  times  8  are  64  and  set  it  down,  then  1    \,i^^  3  3  64 
sav  5  times  5  are  25  and  8  (one  of  the  units),    [ 
make  33. 

Multiply  62  by  42.  f  4  2 

Say  2  times  2  are  4,  set  it  down  and  prefix  1  ^Vns.  2  6  0  4 
a  0,  then  sav  4  times  6  are  24  and  2  make  26.    [ 


78  Ropp's  RAPID  rp:ckoner. 

To  square  any  number  of  Ds  instantaneously,  and  without 
making  any  figures  except  the  product  itself. 

Begin  on  the  left  and  write  as  many  9s,  letis  one,  as  there  are  9s 
in  the  given  number,  an  8,  as  many  Os  as  9s,  and  a  1. 

What  is  the  square  of  999  ?  Ans.  998001. 

Set  down  two  9s,  an  8,  two  Os,  and  a  1. 

Find  the  square  of  99999.  Ans.  9999800001. 

Here  are  five  9s,  write  four  9s,  an  8,  four  Os,  and  a  1. 

Contracted  Division— A  New  Method. 

By  this  method  of  division  which  is  scientific  and  practi- 
cal, the  quotient  is  obtained  by  an  easy  process  with  very 
few  figures,  and  far  less  labor  than  would  at  first  be  inferred 
from  the  rule.  It  possesses  the  peculiar  characteristic,  that 
the  larger  the  divisor,  the  less  figures  and  labor  is  required 
in  the  operation.  The  diligent  student  will  never  regret  the 
time  and  labor  he  bestows,  in  trying  to  learn  and  comprehend 
the  principles  of  this  useful  and  amusing  method. 

Rule. — Assume  as  many  figures  of  the  divklend  as  will  con- 
tain the  integral  part  of  the  divisor,  count  the  remaining  figures 
in  the  integral  part  of  the  dividend,  which,  increased  hy  1,  will 
he  the  number  of  figures  in  the  integral  part  of  the  (pLoticnt.  If  the 
division  is  to  be  carried  to  decimali,  increase  this  number  hy  as 
many  as  there  ivill  be  decimal  places  in  the  quotient. 

Take  as  many  figures  of  the  divisor  as  there  will  be  figures  in  the 
quotient,  annexing  ciphers  if  there  are  not  o.s  many.  Take  as 
many  figures  of  the  dividend  as  will  contain  this  divisor,  and  if 
there  are  not  enough,  supply  the  deficiency  by  annexing  ciphers. 

Obtain  the  first  quotient  figure  in  the  usual  manner,  multiply 
the  divisor  by  this  figure,  carrying  the  tc7is,  hoirever,  front  the 
nearest  rejected  figure  in  the  divisor,  and  irrite  only  the  renuiinders 
in  the  same  manner  as  in  "  Short  Method  of  Division." 

Reject  the  right  hand  figure  of  the  preceding  divisor  and  use  the 
last  remainder  for  the  next  partial  dividend,  and  thus  proceed  until 
the  divisor  is  reduced  to  a  single  figure,  then  point  off  the  required 
number  of  decimals. 

Examples.— Divide  4972356  by  21345,  carrying  the  divi- 
sion to  units. 

Assuming  as  r  2,1,3|4  5)  4  9  7|2  3  5  6  (2  3  3  Ans.,  nearly, 
many    figures    as -I  7  0 

will    contain    the  [  6 

whole  divisor,  there  are  ^?ro  figures  remaining  in  the  dividend, 
by  this  we  know  that  there  will  be  ^Arce  figures  in  the  quotient. 


ROPP's    RAPID    RECKONER.  79 

We  now  take  the  three  left  hand  figures  of  the  divisor,  and 
as  many  of  the  dividend  as  will  contain  them,  and  proceed 
tJius,  213  in  497  is  contained  2  times;  setting  the  2  in  the 
quotient  we  say,  2  times  3  are  6  and  1  (ten)  from  the  nearest 
rejected  fig.  4,  makes  7,  which  would  fall  under  the  7  in  the 
dividend,  but  writing  the  remainders  only,  we  set  a  0  in  its 
place.  We  then  ."^ay,  2  times  1  are  2  and  7  (written  in  the 
rem.)  make  9;  2  times  2  are  4,  (no  rem.) 

We  now  mark  off  the  3  in  the  divisor  and  say,  21  in  70, 
3  times,  3  times  1  are  3,  and  1  (ten)  from  the  rejected  fig.  3, 
makes  4  and  0  (written  in  the  rem.),  make  10;  3  times  2  are 
6  and  1  (ten),  makes  7,  (no  rem.)  We  next  mark  off  the  1 
in  the  divisor  and  say,  2  in  6,  3  times,  3  times  2  are  6,  (no 
rem.),  which  finishes  the  operation. 

Divide  523824  by  748,  carrying  the  division  to  1  decimal 
place. 

^         ,,  o^  f  7,4,8,0)  5  238  2  4  (7  0  0.3  Ans. 

Here    there  are  2  figures  -l    '  '  '  '  99 

left  in  the  dividend  after  as-  ^ 

suming  enough  to  contain  the  divisor  (748),  hence,  there 

will  be  3  figures  in  the  integral  part,  and  with  the  1  decimal 

— 4  places  in  the  quotient.     There  being  only  3  figures  in 

the  divisor,  we  annex  a  0  to  it ;  take  as  many  "figures  of  the 

dividend  as  will  contain  it  now,  and  proceed  thus;  7480  in 

52382,  7  times  and  22  over,  we  then  mark  ofl'  the  0  in  the 

divisor  and  say,  748  in  22,  0  time,  set  a  0  in  the  quotient 

and  mark  off  the  8,  and  proceed,  74  in  22,  0  time,  set  another 

0  in  the  quotient,  mark  off  the  4  and  say,  7  in  22,  3  times, 

3  times  7  are  21  and  1  (ten  from  the  rejected  figure  4,  make 

22,  (no  rem.) 

Divide  8186352.9375  by  8967.3125,  carrying  the  division 
to  2  decimal  places. 

Comparing  the  integral  part  of  the  divisor  with  the  in- 
tegral part  of  the  dividend,  shows  that  there  will  be  4 
figures  in  the  integral  part  of  the  quotient,  and  with  the 
2  decimals — 6  places  in  all.  We  then  take  the  first  6  figures 
of  the  divisor,  and  as  many  of  the  dividend  as  will  contain 
them  and  proceed  as  before. 

3,9,6,7,.3,1|2  5)81863  5i2.9  3  7  5  (2  0  6  3.4  5  Ans. 
2  517  3 
1369 
179 
2  0* 

See  notes,  page  37. 


oi  ^  CO  ic  I—  o  c  'X  ^  r.  w>  4-  CO  ic  I-  o  ".c  X  ^  c;  c  >;>  co  tc  m  o  :c  oc  ^i  c.  O'  t^-  co  to  > 


■^'^r 

z 

X 

X 

X 

-} 

T 

^ 

-» 

-1 

zi 

v: 

£• 

~- 

-} 

5:- 

y 

k.' 

i:^ 

=-/ 

•— 

'^ 

ir 

r: 

Ti 

=• 

y^ 

~ 

<:i 

it 

-. 

':? 

r- 

!£ 

IC 

?is 

i4 

li 

<~ 

Ji 

Zl 

:^ 

? 

■r 

■^ 

:4 

■^ 

~ 

= 

-/- 

■/; 

V- 

-; 

T] 

r; 

£- 

-- 

5 

£ 

2 

y- 

fefe 

t= 

ii 

^: 

iii 

^ 

^ 

1 

5 

T' 

~ 

E 

;t; 

^ 

3;t 

r 

s 

i 

i 

i 

£ 

? 

i 

= 

^-T 

? 

a 

'^ 

3? 

Ti 

5 

gg 

^ 

^t- 

l5^ En  Si 


'.^  <^  Jr  

."i  ii  X  —  il  -ice;  = 


s^E]2^ 


c^  t~i  -i  "'  .'i  r£  ^  =  '^  '7  'x  -^  fe  5?i  ii  !t  Ic  !i  i^  ■£  c  S  X  -5  r;  -  i?>  in  w  <X  JS  I-'  o  •;£  ^, 
o  Tw  r  ~  7  £  ,>:■  -^-  X  =  <j,  >-  ji  X  c  ?c  c  =:  x  c  i,:,  .^  -  x  =  <w  —  J-.  x  c  >>:.  rf-  =-■  X 

oSx:^^3iw*i?oipj^oofe^1i^}25'^^^^T^S^Sz2?5;^f^5'^ 

en  ji  -T  X  •—  O  "-^  <>i>  O^  ■^  C"  Ci  -1  X  tS  C  '-'  to  ^  »'-  w'  -■  -?  y.   —  —  — "  <C  ^c  J-  v^'  -■  -I  X  ^-> 


ox^Sai'^fe!^oSx^050T*-w^;^o^xi^c:ctIucc<i  =  vcx 

0«  i^  CO  r-/  ^  o  -j;  X  -1  J>  en  >&■  So  <o  1-^  o  :£^  CO  -1  g;  oi  *-  cc  <i  ^  c:  -^  X  -!  r.  c  J-  Co 


U'  .**.  CO  (w^  t— ^  c^  ;g  X  — t  J^  ^*  **•  wo  <w  ^^  twJ  ';^'  'jj  — g  i-;»  w  >*■■  v^  <w  ^—  ■ —  ^  y,  -c  w.  > 
oTcn  Oi  W  >U  J^  *i  J-  >U  *«.  )^  >i*  03  W  CO  CO  CO  W  CO  CO  W  ii  <w  <i.  <i  <i  (i  (i  *i.  >-;  I 

feJg5;£gg^gt?g^8^£g§feS^!g^g%5!rr^g'xS  2jz_ 

CT  o»  at  ox  or  en  o»  .£».  ►b-  i.  J-  J^  .t.  ii.  ^  CO  CO  CO  CO  CO  CO  CO  «.  <i  <i  .i  (.:-  <i  <i  (i. ' 

X  -1  ox  *^  CO  ^^  O  O  OO  3i  C  ^  *0  i-i  O  :0  -1  05  or  CO  JO  j-*  CC  X  7*  2  ■'-,  -:-  '-  ir 

or  to  o  aa  CO  o  -1  ^  1-^  X  c»  to  -.a  Oi  CO  o  -1  ^  1-^  X  en  to  eg  C-.  cc  c  -! ,:-  —  X 

fT^  .T^  rr-  L-TT  .-7T  ?1T  fTi  rw  m  UT  j^  -L*  ii*  ,1-.  *!-.  1^  bi-  CO  Co  CO  CO  CO  Co  CO  ?w  ir-L  VJL  (w  ^w  /w 


o  3?  S  X  I^  o  3=  ?*  X  £  o  S  S  X  "  o  §  *S  x  £  o  o  *o  X  £  c  r-:  7:'  X  :i  =  ■-  <  i  X  -^ 

c;3:c;c:3;c3;OTenintnc;nc;tj_j-.i.^.i-j_j-cococococococc(i<i(iii(i<i  —  — 't^ 

mnunmMmm^^m^immmMMM^ 

Mmuunuf:^y.^:^:mnmmmimMm^ 

ii^S3iH[li2giiS^^aiEignrr;gi^xli5:^^S^^^^^ 

tUtf^t^f^ffc-t^^COCCCOCOCOCOCCMCOCOtCKCtCCCtCtCtCCU^'-'MMi-'MMM 

CI  rf^  CO  ic  M  c  -^  X ^  c;  Cii  4-  o;  1-2 1-"  c  -c  X ^)  r.  -1  — :.:  c  —  c  "C a, -1  c  ci  ^  c^  ic 

iliSgiMiagiiiiiiiiSiiiissiiiiiiiifeij 

g  -r  =£  X  ^  7-  21  r^  -1  rf  t7  -'  ?2  ~:  ~-  =}  ^  y}  S  V  r.'  ^  ^  ^  ■^  r^  ^5  "H  ^^  vf  £:  ix  '-.  '-•H  ic 

Iprgpfigg^^^^pp^l^l^l^-g^pi^pH^^jc 

iiifli§-!IPi3fSSiS?illPIIISIP-S?^ 

iiiiiiSigiPSii^gSi^iSi^gPDgSl^^ggi^ 

§  t  X  ;t  1  s  z  -^  ^  5  ^  £  ^:  r1 1.  ^  i:  X  ii  i!  -  Ir  ^  ^c  i  i  1 1  ^  ^  S  r  5  S  !^. 

||i|p|igj2gs§|g2ggl2g||||||g||||p||ic 

28 
330 
304 
3!  12 
420 
44S 
470 
504 
532 
500 
58S 
(11(1 
044 
072 
700 
728 
75(1 
781 
812 
840 
808 
89(1 
924 
952 

1008 
103(1 
1004 
10!  )2 
1120 
11-18 
1170 
1204 
1232 
1260 

2!> 

348 

4(10 
4:  5 
404 
4!t3 

55 1 

5s0 
009 
(13S 
007 
00(1 

75  1 

783 
812 
8  11 
87 1 1 
899 
928 

«)8(1 
1015 
1014 
1073 
1102 
1131 
1100 
118!) 
1218 
1247 
1270 
1305 

ii5iii5iilliis5i5222i^3sii?55;^lilii^ 

|||l§ii5|Hpijfiii|gi;iggl?5p!^iii|g^ 

32 

384 
410 
448 
480 
512 
544 
57(1 
008 
010 
072 
704 
73(1 
708 
800 
832 
80  1 
800 
!)2S 
9(io| 
!)92 
10-24| 
105(l| 

1088: 

1181 
121(1 
1248 
1280 
1312 

1370 
1408 
1440 

0»  Crt  Or  .t.  J.  i. 


CO  CO  «i  *i  *i  -  -"-  =  =  =  --c  tr  -r  X  X  X  -■>  -1  -2  S  ?:  =-:3  S  f?  fe  ^,  rr  CO 
o:  CO  ;s  c;,**  i;  or  »4  x  O"-'  x  .t^  -'  -'  -u  =  ^  ;o  o  c"-  y;  vc  5  »^  ^  ^  i-  ^. 
OT  o  w  o  Oi  o  OT  o  o»  o  w  o  oi  o  i,<  =  ;;<  —  J»  =  w<  =  >-<  =  «-'  =  ^"  —  ^' 


University  of  California 

SOUTHERN  REGIONAL  LIBRARY  FACILITY 

405  Hilgard  Avenue,  Los  Angeles,  CA  90024-1388 

Return  this  material  to  the  library 

from  which  it  was  borrowed. 


;  SO'JTHEPN  REG'0*i»l.  '  '8"*^^  •^*'" 

I    III' 


llll 

B     000  008  873     2 


TIBSTIIiyEOlsri^IliS.      ,4. 


I  have  examined  "Kopp's  ('ommereial  (^alculatofJ  an<i  't 
gives  me  great  pleasure  lo  bear  witness  to  its  merits.  It  eon- 
tains  many  new  and  usetul  tables,  all  of  which  are  well 
adapt'  d  to  the  wants  of  farmers  and  business  men.  The  rules 
laid  down  in  it  are  based  on  scientific  •principles,  and  arp  ft  r 
the  most  part  original,  concise  and  clear.  1  nave  been  par- 
ticularly pleased  with  the  rules  of  contracted  muUlplieatioii 
•^uddivisior.  WM.  G..PECK, 

Prof,  of  Math,  and  Astr'y,  Columbia  (Jollege^  N.  Y. 

I.       •  

»      I  have  examined  " Ropp's  Commercial  Calculator,"  a. id 
have  found  the  rules  and  calculations  correct  in  all  cases.    It 

'  is  to  be  commended  lor  its  practical  character,  and  especie  'ly 

for  the  clearness  and  originality  of  its  processes.   It  is  the  h:.it 

work  for  the  purpose  intended  I  have  ever  seen,  and  I  che-T- 

fuUv  recommend  it  to  the  public.  GEO  W.SMITH, 

Professor  of  Mathematics,  Woodward  College.  Cincinnati. 

•  "  I  have  examined  most  of  the  rules  in  "  Ropp's  Commen  al 
Calculator, "  and  find  them  to  be  correct.  I  should  think  1  he 
book  would  be  very  useful  to  those  for  whom  it  is  design^  d. . 
It  is  desirable,  also,  that  the  chiWren  should  be  familiarizv^d 
at  school  with  quick  methods  of  computation.  The  art  as 
well  fls  the  theorv  of  arithmetic  ought  to  be  thorouKlily 
taught  to  all.  '  J.  M.  PEIRCE, 

Prof,  of  Math.,  Harvard  University,  Cambr'^"'*'  Mass._Jl^ 


1  h;  ve  examined  portions  of  "  Ropp's  Commerc 
tor."  and  find  everything  correct.  I  think  the 
abbreviations  will  be  tound  useful  to  many,  pra 
The  mechanical  appearance  of  the  book  is  i  ery 
favor.  ELIAS  1 

Prof.  Math,  and  Astfy,  Yale  College,  New  H 


Univers 

Soutj 

Lib] 


*5Ir,  Ropp  is  a  practical  farmer,  and  lijence  is  well  posted  as ' 
to  how  much  mathematics  farmers  need  in  the  routine  of 
theTr  business.    He  proceeds  in  a  practical  maiine  •  to  mak."  a 
rough  road  smooth,  at^d  prodiice:.  the  work  before  us,  a  haniy 
little  volume  in  pocke.t-'book  shape,  in  which  is  condensed  --wx 
immense  amount  of  ireful  information,  in  the  :-^    "       ''   '     ": 
cuts  througti  calculations  which  ordinarily  bri-i 
midiible  array  of  perplexing  figures.     The  !■ 
'     ;     x'planations'of  contractions  in  the  varioii 
!tjtie«suchas  calculations  in  all  kindsof 
aing'  intore:-i  and  other  problems   in  j- 
les  ot  all  sorts  and  kinds,  keeping  accoum^   :uiu.    n 
.  much,  and  in  so  small  a  .-spice,  that  we  degpair  of 
•vtiTig  uU.  and  leave  the  reader  to  the  pleasure  of  d.^-- 
■   :  l^mself  when  he  buys  the  book.    Altogether,  it 
^'tul'manual,  and  otie  which  must  beagreatiis- 
Wt^tne  farmer  and  the  business  man. — Scientiic 

'V '  ,  > 


:¥ 


